Abstract
As first observed by Ladd in 1981, English polar questions with high negation (e.g., Aren’t they adding a menu item?) can be used both to check the speaker’s belief that the proposition p is true (e.g., p = they are adding a menu item) and to check the addressee’s belief that p is not true (¬p). We hypothesized that this ambiguity can be disambiguated prosodically. We further hypothesized that the prosodic disambiguation is absent in German, because the checked proposition can be marked morpho-syntactically, with questions with high negation checking p and low negation questions (e.g., Are they not adding a menu item?) checking ¬p.
A production study tested these hypotheses with 24 speakers of Western Canadian English and German each (764 and 767 total utterances, respectively). The results showed that, when the speaker originally believed p and the addressee implied ¬p, English speakers preferred questions with high negation over low negation questions, confirming Ladd’s observation, and used intonation to mark whose proposition they were checking, as hypothesized. By contrast, German speakers marked this distinction morpho-syntactically, realizing mostly questions with high negation to check their own proposition and low negation questions to check the addressee’s proposition. Their prosody, in turn, was largely determined by the morpho-syntactic question form. The study further manipulated the speaker’s certainty of the checked proposition, but, in contrast to studies on Romance languages, found that certainty itself was not marked.
1 Introduction
Polar questions (or yes-no questions) are questions that expect an answer of either yes or no. The form of the question can be positive or negative (e.g., Are you hungry? vs. Aren’t you hungry? or Are you not hungry?), and even though positive and negative forms have traditionally received the same semantic representation (e.g., a set containing the checked proposition and its negation), more recently several authors have argued that they are not in fact equivalent in terms of use-conditions (Asher & Reese, 2007; Büring & Gunlogson, 2000; Romero & Han, 2002, 2004; Sudo, 2013; van Rooij & Šafářová, 2003). Instead, the felicity of their use depends both on the speaker’s prior beliefs regarding the checked proposition p and the new evidence provided by the conversational context. For example, Domaneschi, Romero, and Braun (2017) manipulated the original speaker bias – see (1a) with speaker bias for the proposition p – and contextual evidence – see (1b) with evidence for ¬p. They found that in such situations with conflicting biases, English participants most often chose negative polar questions with negation in a high position, as in (1c); by contrast, positive polar questions as in (1d) were almost never uttered by participants as a response in the same context and thus seem inappropriate (see Domaneschi et al., 2017, for empirical results on these and other combinations of biases).
(1) Polar questions checking proposition p (p = there is a train in the early morning) a. Tomorrow, you need to go from Nottingham to Sheffield very early. Your brother goes there quite frequently and you remember he told you that he usually takes a train in the early morning, before 7:00. b. You go to the ticket office and you ask for a train for the next morning. The operator answers you: “The only train available is at 11:00.” c. Isn’t there a train in the early morning? d. #Is there a train in the early morning? (Domaneschi et al., 2017, p. 12)
In this article, we further investigate negative questions with high negations such as (1c) in German and English. While these questions have been argued to be ambiguous between two readings in English, their German counterparts are not. We tested whether the two readings are disambiguated by prosody in English and how the same difference is signaled in German.
As first pointed out by Ladd (1981), English negative polar questions with high negation (HiNQ; e.g., Isn’t there a vegetarian restaurant around here?) show an interesting ambiguity, later termed “Ladd’s ambiguity” in the semantic literature: Speakers can either use HiNQs to check the proposition p that they are biased for (p = there is a vegetarian restaurant) or, having just inferred that the addressee seems to believe that the proposition is not true, check this inference that ¬p. Ladd’s original examples are given in (2) and (3) below. In (2b) Kathleen uses a HiNQ to double-check her original belief that p is true. In (3c), Bob, who also had originally assumed that p was true, uses the same HiNQ to check ¬p, which he has just inferred from Kathleen’s previous statement.
(2) HiNQ checking proposition p (p = there is a vegetarian restaurant) (Situation: Kathleen and Jeff have just come from Chicago on the Greyhound bus to visit Bob in Ithaca.) a. Bob: You guys must be starving. You want to go get something to eat? b. Kathleen: Yeah, isn’t there a vegetarian restaurant around here—Moosewood, or something like that? c. Bob: Gee, you’ve heard of Moosewood all the way out in Chicago, huh? OK, let’s go there. (Ladd, 1981, p. 164)
(3) HiNQ checking proposition ¬p (Situation: Bob is visiting Kathleen and Jeff in Chicago while attending CIS.) a. Bob: I’d like to take you guys out to dinner while I’m here—we’d have time to go somewhere around here before the evening session tonight, don’t you think? b. Kathleen: I guess, but there’s not really any place to go in Hyde Park. c. Bob: Oh, really, isn’t there a vegetarian restaurant around here? d. Kathleen: No, about all we can get is hamburgers and souvlaki. (Ladd, 1981, p. 164)
This ambiguity is not present in German, as first pointed out by Büring and Gunlogson (2000). They state that, when the negative question checks proposition p as in (2)—“outer negation” in Ladd’s terminology—the question translates into German as (4), where the negation nicht precedes the indefinite determiner ein. When the negative question checks the proposition ¬p as in (3)—“inner negation”—German is said to use the equivalent negative polar question with the negation in a low position (LowNQ) in (5), where the negation and the determiner are merged into kein “none.”
(4) Gibt es hier nicht ein vegetarisches Restaurant? (HiNQ)
Gives EXPL here not a vegetarian restaurant
“Isn’t there a vegetarian restaurant around here?”
(Büring & Gunlogson, 2000, p. 10)
(5) Gibt es hier kein vegetarisches Restaurant? (LowNQ)
Gives EXPL here no vegetarian restaurant
“Is there not a vegetarian restaurant around here?”
(Büring &Gunlogson, 2000, p. 9)
Hence, while German may disambiguate syntactically between checking p versus ¬p, English may not. 1 We hypothesized that, in English, Ladd’s ambiguity is disambiguated prosodically; that is, that the intonation of English HiNQs is different when they are employed to check p than when they are used to check ¬p. We therefore constructed a production experiment comparing the prosody of English and German negative polar questions—namely HiNQs and LowNs—checking p versus checking ¬p.
Although to our knowledge it has not previously been tested whether prosody marks the checked proposition of English HiNQs, an observation by Domaneschi et al. (2017) hints that this may be the case. They showed that in a context in which a speaker with an existing bias for p encountered evidence that their addressee believed ¬p (as in (1) above), when German participants selected HiNQs in the experiment they uniformly realized them with a nuclear pitch rise, whereas British English participants sometimes used rises and sometimes falls. Domaneschi et al. (2017) hypothesized that German speakers uttering HiNQ always used them to check their original bias for p, whereas the two different intonational realizations for English may have been used to mark the difference between speakers checking their original bias for p versus the newly presented bias for ¬p. However, since their experimental design did not control which proposition participants checked, the authors were unable to indicate which of the two contours would be used to check which bias.
Note that to test how the checked proposition is marked, it is crucial to use a so-called contradiction scenario where the speaker’s original belief is p and the addressee implies ¬p, as in (1) and (3), and not a so-called suggestion scenario as in Ladd’s context given in (2). It has been shown in the literature that, while HiNQs checking p can be used both in contradiction and in suggestion scenarios, HiNQs checking ¬p are only felicitous in contradiction scenarios (AnderBois, 2011, pp. 187–189; Romero & Han, 2004, pp. 618–621; Sudo, 2013, Table 19): In contrast to scenario (2), Bob could utter both Oh, really, isn’t there some vegetarian restaurant around here? and Oh, really, isn’t there any vegetarian restaurant around here? in scenario (3). Since we are interested in whether prosody marks the difference between checking p and ¬p in the case of ambiguity for English HiNQs, the relevant contexts are contradiction scenarios.
1.1 Prosody of polar questions
For both English and German, scholars have suggested various different, but related explanations for differences in the intonation of questions, with most of the discussion centered around the difference between final pitch rises and falls. Rises have been described as signaling interrogativity and falls as making questions more statement-like, with authors generally acknowledging that there is no one-to-one correspondence between intonation and interrogativity and that other factors, such as politeness, play a role (e.g., for English: Halliday & Greaves, 2008; O’Connor & Arnold, 1973; Palmer, 1922; Schubiger, 1958; for German: Altmann, 1984; Féry, 1993; Isačenko & Schädlich, 1966; Pheby, 1975; von Essen, 1964; Stock & Zacharias, 1973; for other prosodic markers of interrogativity, see also Michalsky, 2017; Petrone & Niebuhr, 2014). In the following, we are going to summarize more concrete analyses of the meaning of question intonation, first for English and then for German.
For English, Pierrehumbert and Hirschberg (1990) argue that the primary meaning of phrase-final high pitch in English is to signal that the phrase should be interpreted as related to a following phrase, whereas low pitch signals that it should not (see also O’Connor & Arnold, 1973, p. 47; Pike, 1945, p. 51; Peters, 2006, adopts this interpretation for German). A partially overlapping proposal by Bartels (1997b, 1999/2013) claims that final high pitch is associated with continuation dependence, whereas final low pitch is associated with assertiveness. Similarly, Nilsenová (2006) posits an association between final pitch rises and epistemic uncertainty on the part of the speaker. Steedman (2008), expanding a suggestion by Gussenhoven (1983, pp. 201–202), interprets final high pitch as the speaker attributing responsibility for the propositional content to the addressee, whereas falls mark a commitment of the speaker (see also Gunlogson, 2001, on falls and rises in declarative questions versus statements, and Escandell-Vidal, 1998, 2000, 2017, for a similar account of Peninsular European Spanish question contours).
Conversely, another line of research has taken syntactic and pragmatic factors as its starting point and investigated their influence on the prosodic realization of questions. The role of the checked proposition is generally not explicitly addressed in studies describing the prosody of English or German HiNQs. For English, Romero and Han (2002) suggested that the preposed negation in HiNQs is focused per se (it contributes the
In summary, research on the prosody of English polar questions has described differences between positive and negative (HiNQ) questions, as well as marking of the expected answer. Thus, while both morpho-syntactic question type and bias have been argued to influence the prosodic realization of English questions, the picture is fragmented and incomplete, in particular regarding the role of checked proposition.
For German, no differences between the prosody of positive and negative polar questions or between HiNQs and LowNQs have been described in the literature yet (but for differences between polar questions, wh-questions, alternative questions and questions with declarative syntax in their association with final pitch rises vs. falls, see, e.g., Altmann, 1984; Bierwisch, 1966; Isačenko & Schädlich, 1966; Kohler, 2005b; Pheby, 1975; Stock, 1999; von Essen, 1964). Some authors have interpreted falls as signaling that the speaker is focused on facts, but rises as indicating a focus on the addressee or the relationship between the speaker and addressee (Kohler, 2005b; Stock, 1999; Stock & Zacharias, 1973) or suggested that rises signal openness and an allocation of choice to the addressee, whereas falls restrict the choice (Bartels, 1997a; Kohler, 2005b; von Essen, 1964), relating the two to extralinguistic factors such as perceived friendliness and interest in the addressee (Kohler, 2005b; Peters, 2006; von Essen, 1964, pp. 59–60).
Crucially for our present topic, Pheby (1975, pp. 154–155) states that the intonational realization of polar questions depends on the presence of bias, distinguishing three cases. First, final pitch rises generally mark neutral questions requesting information. Second, a final fall appears when speakers use a question to assure themselves of something or to be assured that the addressees are certain. Third, questions with final falling-rising pitch convey an expectation on the part of the speaker with respect to the truth of the checked proposition. The third case is most relevant in the present context, since it seems to correspond to the cases of interest in our study; that is, biased polar questions where the speaker checks the truth of a proposition p (or its negation ¬p). To illustrate this case, Pheby gives examples of both positive and negative polar questions carrying what he calls a “negative” expectation; that is, a speaker bias towards answers of the opposite polarity, namely Darfst du das? “Are you allowed to do that?” expecting that the addressee is not allowed to do it, and Darfst du das nicht? “Are you not allowed to do that?” 2 expecting that the addressee is allowed to do it. But he states that the polarity of the expected answer may also match that of the question, supporting his claim with an example of a positive polar question with the same fall-rise contour carrying a positive expectation. Interestingly, Pheby (1975, p. 171) further subdivides this third case, questions with falling-rising intonation, into questions with a smaller versus a larger pitch range for the fall-rise, with the latter signaling a stronger expectation of an opposite-polarity answer. 3
In line with that, Batliner (1989) suggests that the size of the final pitch rise in a question can make a question more or less prototypically question-like (“fragehaltig,” Batliner, 1989, p. 155), whereby a less question-like question can, for example, express a bias for a certain answer or signal a lack of interest in the answer, whereas a more question-like one is neutral with respect to the expected answer and shows strong interest in the response. Note, however, that Batliner is discussing gradient differences in meaning here, which according to him can only be employed when the size of the final pitch rise is not needed to mark a categorical distinction. Thus, prosody can modify how prototypical a morpho-syntactic polar question is, but cannot be used in the same way when it is needed to mark the contrast between question and declarative in so-called declarative questions, which are morpho-syntactic statements and marked as questions only by prosody (Batliner, 1989, pp. 155–157).
Similarly, Kügler (2003) observed that positive polar questions in semi-spontaneous and spontaneous Upper Saxon German were always realized with rising nuclear accents (L*H), but that these accents were followed by a final pitch rise for information-seeking questions—that is, questions without a bias—and by a pitch fall for confirmation-seeking questions—that is, questions with a positive speaker bias. He specifically noted that the absence of falling accents in polar questions in his Upper Saxon data constitutes a difference from Standard German. 4
German hence uses the final contour to mark bias in polar questions (Kügler, 2003; Pheby, 1975) and seems to use gradual differences in pitch range to mark the strength of an expectation of an opposite-polarity answer (Pheby, 1975). There are no experimental data, however, on whether the checked proposition affects the morpho-syntactic question form or the prosodic realization.
Similar pragmatic differences have been found to affect the prosody of polar questions in various other languages. In particular, a prosodic distinction between information-seeking and confirmation-seeking questions or between biased and non-biased questions has been found in experimental studies for several varieties of Romance languages, with authors frequently pointing to the relevance of other factors like the speaker’s confidence in inferred information or the strength of their bias, also termed speaker certainty or commitment (e.g., Armstrong, 2017; Armstrong & Prieto, 2015, for Puerto Rican Spanish; Prieto & Borràs-Comes, 2018, for Central Catalan; Grice & Savino, 1995, 2003, for Bari Italian; Michelas et al., 2016, for French; Vanrell et al., 2013, for Majorcan Catalan; Vanrell et al., 2014, for Sardinian).
In sum, various factors have been argued to influence the intonation of polar questions in the literature. We believe that the most important factors are: (a) syntactic form or question type (e.g., HiNQ vs. LowNQ); (b) pragmatic function (neutral information-seeking use vs. biased questions seeking reassurance/confirmation or expecting a given answer); (c) the degree of the speaker’s certainty or commitment to the proposition in the question, which may be related to more interpersonal aspects like the speaker’s perceived friendliness, surprise or disbelief; and (d) the propositional content—p versus ¬p—checked by the question. Importantly, while most authors acknowledge the relevance of several factors, experimental studies rarely control more than one factor at a time and often implicitly or explicitly conflate factors that can at least conceptually be differentiated. Furthermore, factor (d) is at this point a suggestion in Domaneschi et al. (2017) and has not been tested experimentally.
1.2 Experiment
Here, we report an experiment on negative polar questions that independently manipulated and crossed the checked proposition (speaker’s/p vs. addressee’s/¬p) and the speaker’s certainty regarding the checked proposition (high vs. low level of certainty) to investigate morpho-syntactic marking (use of HiNQ vs. LowNQ) and prosodic realization (distribution of boundary tones and accent types). Thus, we controlled factor (b) from section 1.1 to be constant for all target items (biased questions used to resolve a conflict between speaker’s and addressee’s beliefs) while systematically varying factors (c) and (d) and investigating the effects on morpho-syntactic question type (a) and prosody (as well effects of question type on prosody). We concentrated on English and German negative polar questions, which present an ideal test case for these factors due to the differences between the languages described above with respect to Ladd’s ambiguity. Based on previous studies, we tested the following hypotheses:
Speakers mark which proposition is being checked by their question. German uses question type, English uses prosody. a. English speakers use HiNQs both to check the speaker’s proposition p and to check the addressee’s proposition ¬p (e.g., Ladd, 1981). b. English speakers use prosody, in particular final intonation, to mark the checked proposition (suggestion in Domaneschi et al., 2017). c. German speakers use HiNQs to check their own proposition p and LowNQs to check the addressee’s proposition ¬p (Büring & Gunlogson, 2000)
The speaker’s level of certainty regarding the checked proposition influences the prosodic realization of the question (e.g., Pheby, 1975, for German; for Romance languages, Armstrong, 2017; Armstrong & Prieto, 2015; Michelas et al., 2016; Prieto & Borràs-Comes, 2018).
Note that since effects of speaker certainty have not been directly investigated for either German or English, we left the precise nature of this factor’s influence open in hypothesis 2. Similarly, it was not possible to specify the nature of the prosodic marking of the checked proposition in English in hypothesis 1b, since it has not previously been investigated. In this paper we focus on categorical differences in boundary tones and accent (placement and type).
2 Method
2.1 Participants
2.1.1 English
For the English version of the experiment, 34 participants were recruited at the University of Alberta in Edmonton, Canada. Of these participants, we excluded seven participants for the following reasons: four were native speakers of other varieties of English than Western Canadian, two were bilingual or heritage speakers of another language, and one participant was both. Of the remaining 27 participants, we chose 24 such that each of the 2 basic experimental lists (see below) contained an equal number of participants. The data that were analyzed came from 24 monolingual speakers of Western Canadian English (15 female, 8 male, 1 other; age 18–33, mean 21.7).
Participants received partial course credit or CA$15 as reimbursement for their time. The study was reviewed and approved by the Research Ethics Board 2 of the University of Alberta.
2.1.2 German
For the German version of the experiment, 32 participants were tested at the University of Konstanz, Germany. Except for one, all of them were native speakers of German who had not acquired any other language before age six. Data from 24 monolingual speakers of German were evaluated to match the number of speakers in the English data (20 female, 4 male; age 18–30, mean 22.5). Again, evaluated participants were equally distributed across experimental lists. All participants received €8 as reimbursement for their time. The study was reviewed by the ethics board at the University of Konstanz.
2.2 Procedure and materials
The experiment manipulated two factors, the proposition checked by asking a negative polar question—HiNQ or LowNQ—and the speaker’s level of certainty regarding the checked proposition, which were crossed to create four experimental conditions (A: checking p, 90% sure, B: checking p, 60% sure, C: checking ¬p, 60% sure, D: checking ¬p, 90% sure). Both factors were manipulated within-subjects. Procedure and equipment were the same for both languages.
Participants read descriptions of dialogue scenarios between two fictional characters and were told to imagine themselves as one of the characters (see Table 1 for an English example item).
English example item in the four conditions: A (checking p, 90% sure), B (checking p, 60% sure), C (checking ¬p, 60% sure), and D (checking ¬p, 90% sure).
The text appeared paragraph by paragraph (rows 1–6 in Table 1), with participants pressing a button on a keypad to proceed when they had read the paragraph and were ready for the next one. After a short introductory statement (1), the second paragraph stated the participant’s positive bias towards a proposition p, which was made stronger in conditions A and B (2, here: p = they are planting a water lily) than in conditions C and D. Next, the interlocutor in the scenario, their addressee, was introduced as having a certain level of expertise with respect to p, which was lowest in condition A and highest in condition D (3). The addressee’s belief that ¬p was then introduced in all conditions (4) before the participant was prompted to resolve the contradiction with a question (5). The participant’s belief was always p, while the addressee’s belief was ¬p, but conditions varied in the following way: in conditions A and B, participants were instructed to utter a question to check their own belief p, whereas they were told to check the addressee’s belief ¬p in conditions C and D (below: “checked proposition”). Additionally, they were told about their level of certainty of the checked proposition, which was 90% for conditions A and D and 60% for conditions B and C (below: “certainty”). Finally, participants saw a HiNQ and a LowNQ checking p/¬p and had to choose one of them by uttering it out loud (6; participants did not see the labels HiNQ and LowNQ).
There were 16 different experimental scenarios of this structure for English and German each. The target questions all followed the same pattern, given in Table 2, where V denotes a verbal stem and N a compound noun. Compound nouns were all quadrisyllabic, with primary stress on the first syllable and secondary stress on the third syllable; they contained only voiced segments to facilitate prosodic analysis. Verbs were less prosodically controlled, but consisted of at least two syllables (see Appendix A for the complete list of target questions). We also controlled information structure to ensure that participants used the question to check the truth of the proposition p/¬p as a whole and all questions were uttered with broad/verb phrase (VP) focus (instead of a possible interpretation with narrow focus on the final compound noun). To this end, we took particular care in constructing the text introducing the addressee’s belief that ¬p. For example, for the item illustrated in Table 1, we made sure that the addressee’s turn in 4 established a conflict with the speaker’s belief not only with respect to what the neighbors are planting (leading to narrow focus on the compound noun water lily in 6), but with respect to whether the neighbors are doing anything at all (leading to broad/VP focus in 6).
Structure of target questions. V denotes a verbal stem, N a compound noun.
The 16 items x 4 conditions were split up to create 2 basic lists, which in turn consisted of 2 experimental blocks each. Conditions and items were counterbalanced so that each list contained every item twice, once in each experimental block, in different conditions. Each condition appeared for overall eight trials per list. Experimental items were interspersed with 15 fillers presenting scenarios similar to the experimental items, but offering different question types as response options. Five fillers gave participants the choice between a simple positive polar question and a positive polar question including really, five between a simple positive polar question and a declarative question, and five between a positive polar question including really and a declarative question. Since these question types cannot be used to check the speaker’s own proposition in contradictions scenarios, filler items only occurred in two conditions, similar to conditions C and D for experimental items. Like the target items, fillers were counterbalanced across lists and participants encountered each filler in each block; that is, twice per experimental session in different conditions. Thus, an experimental session contained 16 x 2 experimental trials and 15 x 2 filler trials, totaling 62 trials, preceded by 4 practice trials. One of the practice trials was similar to an experimental trial and three were similar to filler trials. Within experimental blocks, items were presented in a different random order for each participant. The experiment was conducted in conjunction with a second study, counterbalancing the order of the experiments between participants, so that a complete experimental session took about 45 minutes.
To keep participants engaged and attentive and to encourage them to read the contexts properly, one-third of the trials were followed by questions on whose proposition they were checking or on their level of surprise or by comprehension questions on details about the context. The English participants scored 89% correct on comprehension questions, the German participants 81%, which suggests that they were reading the contexts closely.
English- and German-speaking participants were tested in a sound-attenuated booth at the Centre for Comparative Psycholinguistics at the University of Alberta and at the PhonLab at the University of Konstanz, respectively. Stimulus presentation and data collection were controlled with the software Presentation (Neurobehavioral Systems, 2014). The productions were directly recorded on a computer (44.1kHz, 16Bit) using a head-mounted unidirectional dynamic Shure SM10A microphone with an audio interface audient iD14. Acoustic measurements were performed with Praat (Boersma & Weenink, 2016).
3 Data treatment and analysis
Of the 768 target trials for each language (16 items × 2 repetitions × 24 participants), 3 were discarded in the English version of the experiment because the participants did not choose either of the 2 questions, but instead responded with a declarative question. A further trial was lost because the participant pressed the button to move on to the next trial too early, so the program did not record their response. We thus evaluated responses to 764 trials. For the German data, one trial had to be discarded because the participant spoke so fast and quietly that her response could not be analyzed. Thus 767 target trials were included in the analysis.
3.1 Morphosyntactic and prosodic analysis
The productions were first coded as HiNQ or LowNQ. Then, the first author, a native speaker of German who had lived in Canada for over two years at that point, annotated the pitch contours of all English recordings according to the Tone and Break Indices (ToBI) guidelines for American English, MAE-ToBI (Silverman et al., 1992; Veilleux et al., 2006), marking presence and type of accents and boundary tones (for the autosegmental-metrical model of prosody on which ToBI annotations are based, see, e.g., Ladd 1996; Pierrehumbert, 1980). Two native German-speaking research assistants performed corresponding annotations for the German data following the German ToBI (GToBI) guidelines (Grice et al., 2005; Grice et al., 2017). We checked the reliability of the annotation by pseudo-randomly selecting 15% of the data (115 utterances per language, including utterances from all participants, utterances with all items and conditions) for a new annotation by a different annotator, the first author for the German utterances and a native English-speaking research assistant for the English ones. The new annotators were first trained with a similarly selected set of 24 utterances. The agreement on the 115 test utterances of these new annotations with respect to the prosodic characteristics analyzed statistically below was 74% for English and 75% for German, corresponding to Cohen’s Kappa (κ) values of 0.67 and 0.70, respectively (Carletta, 1996; Cohen, 1960; calculated with R package irr by Gamer et al., 2019). 5 Evaluating only agreement in whether each annotator had assigned the most frequent prosodic category or not—that is, the classification that formed the basis for statistical analyses reported below—yielded an agreement of 87% (κ = 0.73) for English and 83% (κ = 0.65) for the German annotations. The overall values obtained with either method of evaluation, with κ ranging between 0.60 and 0.80, represent a “(r)eliable distinction with substantial agreement” (Breen et al., 2012, p. 293, and references therein).
3.2 Statistical analysis
We analyzed the data with (generalized) linear mixed-effects models in R (R Core Team, 2017), using the package lme4 (Bates et al., 2015; Bates et al., 2016). We additionally employed the package lmerTest (Kuznetsova et al., 2016) to obtain p-values based on Satterthwaite’s approximation of degrees of freedom. Linear mixed-effects models are a type of linear regression modelling that can, for example, take into account associations between several data points coming from the same participant by fitting by-participant random slopes and/or intercepts in addition to modeling effects of predictor variables as fixed effects (Baayen et al., 2008). As dependent measures, we analyzed the following binary response variables by fitting separate binomial generalized linear mixed-effects models (with a binomial linking function) to them: participants’ choice of morpho-syntactic question types (HiNQ vs. LowNQ), the final boundary tone (final high rise vs. no final high rise), and the realization of accents on all constituents (most frequent vs. other realization). We used the default coding in R for these two-level factors (dummy coding). To validate our categorization of utterance final boundary tones (see notes 5 and 6 below), we additionally fitted linear mixed-effects models to the numeric response variable utterance-final F0 height in semitones (st). Model fitting always started with a model with random intercepts for participant and item to account for inherent differences between participants and items. The fixed effects of the first model included an interaction between proposition checked (own proposition/p vs. addressee’s proposition/¬p) and certainty (high/90% vs. low/60%), as well as the factor trial number (centered by subtracting the mean) to account for possible changes in behavior over the course of the experiment. For models of prosodic dependent variables (final boundary tone, accents, and F0 measures), we additionally included the morpho-syntactic form of the question (HiNQ vs. LowNQ) as a predictor (below: “question type”), as well as a three-way interaction between question type, proposition, and certainty. Starting from this model, we then added random slopes for the predictors question type (for prosodic response variables only), trial, checked proposition, certainty, and the interaction between them and compared the resulting models to the original one using the
Then we backward-fitted the fixed effects by removing interactions and predictors not associated with significant effects, as long as this did not significantly decrease model fit. Finally, we performed model criticism on the resulting best model by inspecting the residuals. Where we found outlier residuals deviating more than ±2.5 standard deviations from 0 (the regression line), we trimmed the model by excluding these data points and refitting, to make sure reported effects were not driven by outliers. We report the resulting best models below, stating the number of removed data points where trimming was necessary. Where the random effects structure is not explicitly described, it consists of random intercepts for participants and items without random slopes (see Baayen et al., 2008; Matuschek et al., 2017, on model fitting procedures).
4 Results
4.1 Morpho-syntax
As predicted based on Ladd’s ambiguity, participants in the English version of the experiment showed an overall preference for HiNQ, choosing it over LowNQ in 62% of target trials. As Figure 1 illustrates, this preference appeared for all conditions and was influenced neither by the speaker’s certainty nor by whether they asked the question to check their own proposition or that of the addressee. Statistical modeling indicated no significant effects of proposition checked, certainty, or an interaction between them. The best linear mixed-effects model of the participants’ choice of question type contained an insignificant effect of checked proposition, β = 0.006, SE = 0.314, z = 0.02, p = 0.985, kept in the model since random effects included a by-participant effect slope for checked proposition. Including certainty as a predictor or an interaction between the two factors did not significantly improve model fit (the random by-item intercept was removed for the same reason). The fixed effects only showed a significant effect of trial, β = -0.026, SE = 0.004, z = -5.59, p < 0.001, suggesting that participants were overall more likely to choose LowNQs later in the experimental session.

Participants’ choice of HiNQ versus LowNQ responses by certainty and checked proposition for English data. Error bars indicate standard error of the mean in all figures.
To confirm that participants indeed showed an overall preference for HiNQs, we performed two separate one-sided one-sample t-tests over participant and item averages for the percentage of HiNQ choices. These tests indicated that the percentage of uttered HiNQs was indeed significantly above the chance level of 50%, t(23) = 3.8, p < 0.001 by subjects; t(15) = 5.8, p < 0.001 by items.
For the German participants, by contrast, a significant interaction appeared between checked proposition and certainty, β = 0.767, SE = 0.333, z = 2.31, p = 0.021 (see Figure 2). The best linear mixed-effects model additionally contained a significant main effect of checked proposition, β = -1.957, SE = 0.390, z = -5.01, p < 0.001, indicating that participants responded with HiNQs less often when checking the addressee’s proposition ¬p than when checking their own proposition p. The main effect of certainty was not significant, β = -0.161, SE = 0.232, z = -0.69, p = 0.487, but the interaction showed that participants’ preference for checking p with a HiNQ and ¬p with a LowNQ was stronger when they were 90% certain than when they were only 60% certain (the best model again included a by-participant effect of checked proposition).

Participants’ choice of HiNQ versus LowNQ responses by certainty and checked proposition for German data.
To assess directly whether the effects of the manipulated variables differed between the languages, we combined both data sets and tested whether the three-way interaction between checked proposition, certainty, and language was significant. However, this interaction did not significantly contribute to model fit, and the best model included only a significant interaction between language and proposition, β = -1.473, SE = 0.244, z = 6.03, p < 0.001, suggesting that the effect of proposition—participants chose fewer HiNQs when checking the addressee’s proposition than when checking their own—was larger in the German than in the English data (in addition, the model included insignificant main effects of proposition, β = -0.020, SE = 0.244, z = -0.08, p = 0.934, and language, β = -0.186, SE = 0.166, z = 1.12, p = 0.263). This statistically corroborates the differences in the effect of checked proposition for German and English participants suggested by the separate models reported above: German speakers marked the checked proposition morpho-syntactically, but English speakers did not.
4.2 Prosody
4.2.1 Final boundary tone
Participants uttered overall 85% of the English questions with a final F0 rise annotated as H-H% boundary tones (n = 648), while only 10% of utterances showed the high plateau H-L% (n = 80), 3% the low L-L% (n = 20) and 2% the low-rising L-H% (n = 16). The dominance of H-H% endings was similar for both question types (82% for HiNQs; 89% for LowNQ), for both checked propositions (82% for speaker’s/p vs. 88% for addressee’s/¬p) and both levels of certainty (85% for both levels). However, it was apparent that some of these final H-H% rises were clearly higher, moving from a low point to the top of the participant’s range (see Figure 3). Other utterances were annotated with H-H% boundary tones, but still did not reach the same level (Figure 4). Therefore, we systematically categorized the difference between high rises and smaller rises during the annotation (this distinction was also used by the second annotator and evaluated in the reliability check reported in section 3.1 above). Overall, 420 H-H% rises were classified as high rises and 228 as smaller rises (55% vs. 30% of the total data). We leave open whether this distinction truly reflects a further categorical bifurcation within the MAE-ToBI category H-H%. An alternative explanation could be that we under-utilized the H-L% category, though small H-H% rises generally showed final rises and were auditorily quite distinct from the final plateaus annotated as H-L% (compare Figures 4 and 5). Crucially, a clear difference appeared between utterances annotated as high-rising H-H%, which were the overall most frequent realization in the data, and all other boundary realizations. For statistical analysis, we therefore employed a binary classification into utterances with and without high final F0 rises, where the latter category collapsed H-H% boundary tones resulting in smaller rises with the categories H-L%, L-L% and L-H%. 6

High final rise annotated with H-H% boundary tones. Utterance Aren’t they removing a jury woman? (HiNQ) realized by participant 28. Accented syllables are indicated by capital letters.

Less high final rise annotated with H-H% boundary tones. Utterance Aren’t they planting a water lily? (HiNQ) realized by participant 28. Accented syllables are indicated by capital letters.

Final plateau annotated with H-L% boundary tones. Utterance Aren’t they planting a water lily? (HiNQ) realized by participant 28. Accented syllables are indicated by capital letters.
The best linear mixed-effects model of this binary variable included a significant interaction between checked proposition and certainty, β = -0.895, SE =0.325, z = -2.75, p = 0.006; see Figure 6. Overall, high final rises were significantly more frequent when participants checked the addressee’s proposition ¬p than when checking their own proposition p, β = 1.584, SE = 0.238, z = 6.64, p < 0.001, but this difference was smaller for low certainty than for high certainty. By contrast, the main effect of certainty was marginal, β = 0.394, SE = 0.223, z = 1.77, p = 0.077. The factor morpho-syntactic question type did not significantly improve model fit and was therefore not included in the best model. Evaluating only utterances annotated with H-H% boundary tones yielded essentially the same results, with the best model showing the same interaction between proposition checked and certainty, β = -0.916, SE =0.371, z = -2.47, p = 0.014, and the same significant effect of proposition checked, β = 1.716, SE =0.278, z = 6.17, p < 0.001 (as well as an insignificant main effects of certainty, β = 0.327, SE = 0.246, z = 1.33, p = 0.183, question type, β = -0.351, SE = 0.205, z = -0.247, p = 0.805, and trial, β = -0.006, SE = 0.007, z = -0.795, p = 0.427; question type was retained because removing this factor resulted in convergence issues, while trial was included because a by-item random slope of trial improved model fit).

Proportion of question-final high F0 rises for English data.
In annotating the German data, we directly distinguished high final F0 rises from less high rises. In the GToBI system, this difference is reflected in the presence of two distinct boundary tone combinations: H-^H%, a rise followed by a high plateau (H-) and a further rise perceived as high rising (^H%), contrasts with H-%, a simple rise ending in a plateau. Overall, 53% of the utterances were annotated with the H-^H% tones indicating a final high rise, 21% with H-%, 11% with L-H%, 8% with L-%, and for 7% of the utterances, the annotators were unsure about the final boundary tone. We evaluated a binary distinction between final high rises (H-^H%) and all other contours (see Figure 7). 7

Proportion of question-final high F0 rises for German data.
In contrast to the English results, the best binomial linear mixed-effects model only included a significant effect of syntactic question type, β = 1.111, SE = 0.287, z = 3.87, p = 0.002. It indicated that participants produced more final high rises when uttering a HiNQ than when uttering a LowNQ (recall that HiNQs, in turn, were selected more often when participants checked their own proposition p than when they checked the addressee’s proposition ¬p). The best model additionally included a random by-participant slope of question type.
To directly assess the differences between the languages, we tested for a four-way interaction between proposition, certainty, question type, and language. However, this model did not converge, indicating that there were not enough data points to model this kind of complexity. Therefore, we fitted a simpler model, which showed a significant three-way interaction between proposition, certainty, and language, β = 1.196, SE = 0.475, z = 2.52, p = 0.012, suggesting that the interaction between proposition and certainty, which appeared as significant for the intercept language English, β = -0.894, SE = 0.326, z = -2.75, p = 0.006, was significantly weaker for the German data, in line with the findings reported above. The model also contained an interaction between question type and language, β = 1.209, SE = 0.259, z = 4.66, p < 0.001, while the main effect of question type was not significant, β = -0.174, SE = 0.175, z = -0.99, p = 0.322, matching the finding of a significant effect of question type for German, but not for English.
In sum, this section found clear differences between English and German in the realization of utterance-final boundary tones: English participants showed an effect of proposition checked—realizing higher final F0 rises when checking their addressee’s proposition ¬p than for their own proposition p—which was further modulated by their certainty of that proposition, whereas the occurrence of high final F0 rises in German was only predicted by morpho-syntactic question type, with more high final rises for HiNQs than LowNQs.
4.2.2 Accents
Auxiliaries in the English utterances (are; note that only English items contained auxiliaries, so that this category was absent from the German data) were the only constituents to show an effect of one the manipulated variables. Auxiliaries were most frequently realized with a rising accent with a delayed peak (L+H*<, n = 383, i.e., 50% overall). For statistical analyses, the dependent variable coded whether auxiliaries were realized with the most frequent accent category L+H*< or any of the other categories. Binomial linear mixed-effects modeling indicated that this accent choice was influenced by the factor proposition checked: participants used L+H*< accents slightly more often when checking their addressee’s proposition ¬p than when checking their own proposition p, β = 0.686, SE = 0.296, z = 2.32, p = 0.020 (see Figure 8). The best model additionally contained a significant main effect of question type, associated with a much larger estimate, β = 8.873 SE = 1.289, z = 6.89, p < 0.001, showing that L+H*< appeared more often in HiNQs than in LowNQs, which may be connected to the accentuation of negations (24 data points or 3% trimmed, the best model did not contain a random intercept for item). Less frequent realizations consisted mostly of unaccented auxiliaries (n = 268, i.e., 35% overall), while all other accents together accounted for only 15% (n = 113).

Proportion of auxiliaries realized with L+H* < accents in English data.
In addition to auxiliaries, we evaluated the accents on the sentence-final compound nouns (e.g., water lily), main verbs (e.g., planting) and negations (n’t and not in English, kein “none” and nicht “not” in German). Below, we present short summaries of the accentuation of these constituents; see Appendix B for further details. The subject constituent (they in English, sie “they” in German) was never accented and is thus not further considered here. The realization of the accents on the other constituents did not show an effect of proposition, certainty, or an interaction between them in either the English or the German data set. Instead, accentuation of all other constituents (except finite verbs, which did not show any significant differences) was determined by morpho-syntactic question type for both languages, though reasons for this seem more trivial for English (see Appendix B for statistical analyses using a binary dependent variable that coded whether each word was produced with the most frequent realization or not).
Figures 9 and 10 illustrate utterances where all constituents were realized with their most frequent realizations for English and German, respectively.

Sentence Aren’t they reanalyzing a mammal molar? (HiNQ) realized with each constituent carrying the most frequent accent realization (Aux = auxiliary, Neg = negation, S = subject, V = main verb, N = sentence-final compound noun). Accented syllables are indicated by capital letters.

Sentence Importieren sie nicht eine Mangelware? “Aren’t they importing a scarce commodity?” (HiNQ) realized with each constituent carrying the most frequent accent realization (V = main verb, S = subject, Neg = negation, N = sentence-final compound noun). Accented syllables are indicated by capital letters.
English negations were frequently accented in LowNQs, but never in HiNQs (overall 65% unaccented, n = 493). This is expected, as negations in HiNQs are cliticized to the auxiliary (Aren’t) and thus do not contain a vowel of their own that could carry an accent. Among the overall 271 negations realized with an accent, the most common accent category was L* (n = 119, i.e., 16% overall), while all other accents constituted overall 20% of the realizations (n = 152).
Compound nouns in the English data carried L* accents most of the time (n = 683, 89% overall), but even more so in HiNQs than in LowNQs. Among the compound nouns not realized with the L* accent, most were unaccented (n = 61 or 8% of all realizations), while other accent categories constituted about 3% of all realizations (n = 20).
Among the main verbs, 34% had a low accent (L*, n = 258), 26% a high accent (H*, n = 200), 18% a rising accent with a delayed peak (L+H*<, n = 140), 14% no accent (n = 108), while all other accents together comprised 8% of the data (n = 58). No significant difference appeared between HiNQs and LowNQs.
Turning to the German data, overall 33% of the negations were unaccented (n = 253). However, while unaccented negations formed the largest category in HiNQs (54%, n = 216), they made up only overall 10% of productions with LowNQs (n = 37). Instead, negations in LowNQs were most often realized with the rising accents L+H* (34%, n = 126) and L*+H (24%, n = 90), which in turn appeared for HiNQs in 22% (n = 87) and 4% (n = 16) of the cases, respectively. Note that this difference between HiNQs and LowNQs cannot be explained in the same way as for English, since both negation words are accentable in terms of their segmental make-up.
For German sentence-final compound nouns, the accent L*+H was the overall most frequent realization in both question types (n = 435, i.e., 57%), though it accounted for 73% in HiNQs and only for 39% in LowNQs (n = 290 vs. n = 145). Less frequent realizations of final compound nouns were L* accents (overall 20%, n = 157), L+H* accents (overall 10%, n = 74), no accent (overall 7%, n = 55) and H* accents (overall 6%, n = 45).
German verbs appeared most often with a high H* accent (n = 349, i.e., 46%) or a low L* accent (n = 203, i.e., 26%), while unaccented realizations made up 12% (n = 90) and all other accents combined 16% (n = 125).
In summary, accentuation of most constituents was influenced by morpho-syntactic question type in English and German. In contrast to the results for German, the effect was either small (utterance-final compounds) or had a straightforward explanation (negations and auxiliaries) for the English data. The only significant effect of proposition checked—albeit small—appeared for English auxiliaries, which were realized with L+H*< accents (vs. unaccented realizations) more often when checking the addressee’s proposition. No effects of certainty and no interaction between the two factors appeared in either language.
5 Summary and discussion
In this section, we first examine the hypotheses in light of the results of our experimental study that orthogonally manipulated checked proposition and speaker certainty for negative polar questions in English and German (section 5.1). Next, we compare our participants’ productions to previous descriptions of the prosody of negative polar questions in these languages (section 5.2). Finally, we relate our results to accounts of intonational meaning (section 5.3) before ending with a conclusion (section 5.4).
5.1 Evaluation of hypotheses
Our study was designed to test the following hypotheses:
Speakers mark which proposition is being checked by their question. German uses question type, English uses prosody. a. English speakers use HiNQs both to check the speaker’s proposition p and to check the addressee’s proposition ¬p (e.g., Ladd, 1981). b. English speakers use prosody, in particular final intonation, to mark the checked proposition (suggestion in Domaneschi et al., 2017). c. German speakers use HiNQs to check their own proposition p and LowNQs to check the addressee’s proposition ¬p (Büring & Gunlogson, 2000)
The speaker’s level of certainty regarding the checked proposition influences the prosodic realization of the question (e.g., Pheby, 1975, for German; for Romance languages Armstrong, 2017; Armstrong & Prieto, 2015; Michelas et al., 2016; Prieto & Borràs-Comes, 2018).
In line with hypothesis 1, we found experimental support for “Ladd’s ambiguity”: speakers of English use negative questions with the negation in a high position (HiNQ, e.g., Aren’t they adding a menu item?) both to check their own belief that the proposition p is true (e.g., p = they are adding a menu item) and their addressee’s belief that it is not (Ladd, 1981). In our data, speakers of Western Canadian English most frequently chose this question type over the alternative with the negation in a lower position (LowNQ, e.g., Are they not adding a menu item?) in both cases, supporting hypothesis 1a. Note that while HiNQs constituted the majority of responses (62% overall), LowNQs still appeared frequently (38% overall). This may to some degree be related to the fact that participants made a binary choice between these two options. However, two facts speak against this interpretation: first, according to Romero and Han (2004), while HiNQs obligatorily convey a question bias, LowNQs may be used as neutral questions, but can also be used in a biased context. Second, Domaneschi et al. (2017), who gave their participants five different response options, still found 26% LowNQ choices and observed a similar percentage of HiNQ responses (67%) as we did in the same context; that is, where the speaker had a previous bias towards p and the addressee expressed a bias for ¬p. Note also that all the other response options in Domaneschi et al. (2017), which included the possibility for speakers to freely formulate their own question response, together constituted less than 10% of responses in this context, suggesting that providing a binary choice between HiNQ and LowNQ in the present study was appropriate. A search of the 560-million-word Corpus of Contemporary American English (COCA; Davies, 2008, 2009) for text strings indicating the use of HiNQs and LowNQs suggests that in spontaneous conversations and naturally occurring written texts, HiNQs are relatively more frequent than in these experimental contexts, which were specifically constructed to elicit biased questions, but LowNQs also constitute between 8% and 43% of negative polar questions, depending on the subject pronoun (Table 3; note that sentences with full noun phrases, demonstratives, etc. as subjects were not counted; also, the search was restricted to strings including present tense forms of the auxiliary/verb to be).
String frequencies for LowNQs and HiNQs similar to those occurring in the present studies with various subject pronouns in COCA (Davies, 2008, 2009), with searched strings given in brackets, and relative percentage of HiNQs, calculated as number of HiNQs * 100/(number of HiNQs + number of LowNQs), rounded.
Supporting hypothesis 1b, we further found that speakers of English prosodically disambiguated the checked proposition, expanding a suggestion by Domaneschi et al. (2017). Participants ended their questions with higher F0 rises more often when checking the addressee’s proposition than when checking their own. In addition, an effect of proposition checked also appeared for the accentuation of English auxiliaries (namely, more L+H*> accents when checking ¬p than when checking p), although it was small (see below for more detailed information on the prosodic marking). The importance of the difference in accentuation should therefore not be overstated, but see below for some discussion of how this finding could be related to accounts of intonational meaning.
In line with hypothesis 1c, we found that German differs from English with respect to the morpho-syntactic marking of the checked proposition: German speakers chose a majority of HiNQs when checking their own proposition p, but uttered LowNQs more frequently to check their addressee’s proposition that ¬p, in line with the previous literature (Büring & Gunlogson, 2000). The prosodic realization, however, did not directly encode proposition checked in German. Instead, it was best explained by the morpho-syntactic question form: unaccented negations constituted the largest group in HiNQs, whereas negations in LowNQs were most frequently realized with L*+H accents. L*+H accents on the sentence-final compound nouns were more frequent in HiNQs than in LowNQs. Additionally, HiNQs were more often realized with a high final F0 rise (boundary tone H-^H%) than LowNQs. Thus, while Figure 10 above shows the typical intonational realization of a HiNQ, Figure 11 illustrates the accents and boundary tone found most frequently for German LowNQs. Note, however, that German LowNQs were intonationally more variable than their HiNQ counterparts: while there were only 3 LowNQs that had the intonational pattern shown in Figure 11 (about 1% of German LowNQs), Figure 10 is representative of 99 realizations that had the most frequent intonational realizations for all constituents (25% of German HiNQs). Still, the picture that emerges is that for the German participants, their choice of morpho-syntactic question type largely determined, or at least restricted, options for the prosodic realization. This contrasts with English, where accentuation was also affected by the choice of question type, but these effects were either very small or can simply be explained through the availability of syllable nuclei for accentuation, as discussed below.

Sentence Besuchen sie keine Rummelmeile? “Are they not visiting a fun fair?” (LowNQ) realized with each constituent carrying the accent realization most frequent in German LowNQs (V = main verb, S = subject, Neg = negation, N = sentence-final compound noun). Accented syllables are indicated by capital letters.
Summing up the evaluation of hypothesis 1, our results suggest that in German, the distinction between checking the speaker’s own epistemic bias for the proposition p and checking the addressee’s bias for ¬p is encoded syntactically via the choice of HiNQ versus LowNQ and this morpho-syntactic choice then largely determines the prosodic realization. In English, by contrast, the same morpho-syntactic form (HiNQ) is uniformly preferred, and the checked proposition is directly prosodically encoded via accentuation of the auxiliary and the final boundary tone (rising accent on auxiliary and high boundary tone when checking the addressee’s proposition, unaccented auxiliary and less high boundary tone when checking the speaker’s own). Thus, both languages reflect the distinction between double-checking the speaker’s own bias and double-checking the addressee’s bias. Prosody is influenced directly by proposition checked in English, and follows from the choice of morpho-syntactic question type in German.
In hypothesis 2, we hypothesized that certainty would play a role. In our data, there was no main effect of certainty in either language. However, certainty played a role in that it interacted with the marking of proposition checked in some cases: in particular, it affected only the choice of morpho-syntactic form in German and only the prosodic form in English. Specifically, regarding morpho-syntactic marking in German, speakers’ choice of HiNQ versus LowNQ further interacted with their level of certainty regarding the proposition they checked with their question: when participants were 90% certain (that their own belief or that of their addressee was true), they chose their preferred question type—HiNQ for checking p, LowNQ for checking ¬p—more often than when they were only 60% certain.
In English, where checked proposition did not affect the choice of question type, certainty did not have an effect on choice of question type, either. Instead, the interaction between proposition and certainty appeared in the prosodic realization of the questions in our English data: the effect of checked proposition on the use of utterance-final high-rising boundary tones got boosted when participants were 90% certain compared to when they were 60% certain. However, statistical modeling did not confirm a significant interaction with certainty for the effect of proposition on the accentuation of auxiliaries, though Figure 8 shows that for HiNQs, the difference between the two propositions was numerically larger for 90% certainty than for 60% certainty.
Thus, for both languages, certainty was not itself encoded prosodically or in the choice of morpho-syntactic question type, but it strengthened the preference for encoding the checked proposition. Thereby, our results contrast with the observed prosodic marking of speaker certainty, confidence or commitment reported in many Romance languages; for example, for Bari Italian (Grice & Savino, 1995, 2003), Majorcan Catalan (Vanrell et al., 2013), French (Michelas et al., 2016), Puerto Rican Spanish (Armstrong, 2017), Central Catalan (Prieto & Borràs-Comes, 2018). Whether or not these results indicate a contrast between the West-Germanic languages English and German on the one hand and the Romance languages on the other hand is presently unclear due to differences in study design. Whereas we treated checked proposition and certainty as two separate factors crossed in our study design, previous studies often treated speaker certainty as situated on a gradient (explicitly, e.g., Armstrong, 2017), with the checking of the speaker’s or addressee’s proposition following from the speaker’s certainty of their own proposition. 8 In this context, the results of the third study reported in Romero et al. (2017) might be illuminating: in a modified version of the present study investigating only the choice of morpho-syntactic question type, the speaker’s and addressee’s original beliefs were flipped such that the speaker originally held a bias for ¬p, whereas the addressee’s bias was for p. As in the present study, participants’ choice of question type was significantly influenced by the checked proposition; however, there was no effect of certainty and no interaction. These results do not support an epistemic gradient ranging from the speaker being totally sure of their own proposition to the speaker being totally convinced of their addressee’s proposition. Instead, they seem to suggest that the primary factor, at least for English and German, is the checked proposition—as well as the presence of biases for specific propositions in the first place (e.g., Domaneschi et al., 2017). Thus, the combined results of the present study, the third study in Romero et al. (2017), and Domaneschi et al. (2017) suggest that, in line with the previous literature, the prosody of polar questions is influenced by (a) syntactic form or question type (e.g., HiNQ vs. positive polar question); (b) pragmatic function (neutral information-seeking use vs. biased questions seeking reassurance/confirmation or expecting a given answer); and (c) the propositional content—p versus ¬p—checked by the question and/or whether the propositional content is “owned” by the speaker or the addressee. Various combinations of these factors are signaled with different morpho-syntactic and/or prosodic polar question forms. By contrast, at least for the West-Germanic languages investigated here, speaker certainty or commitment does not seem to be marked per se, but can only increase the marking of one of the other factors. Should future studies confirm the apparent contrast between West-Germanic and Romance languages, a possible explanation could follow from the fact that Romance languages tend to be pro-drop languages: While interrogativity can be marked by subject inversion/dislocation, this is not possible in sentences without overt expression of subjects. As a result, sentences without overt subjects, which are frequent, must be marked as statements or questions by prosody (Escandell-Vidal, 1998, 2000; Grice & Savino, 2003; Vanrell et al. 2013), and the same can be argued to apply to question bias and certainty. This could be the reason for intonation playing a more important role in this language family. 9 However, the opposite could also be speculated to be true, so that in a language where intonation is already used to mark several distinctions, prosody may not be available to mark a further distinction. In this respect, it might be noteworthy that interactions with certainty in our data were clear for German, which allows morpho-syntactic marking of the checked proposition, and somewhat less pervasive for English, which relies exclusively on prosody for this purpose. A third alternative would be that Romance and Germanic languages simply differ in the semantic/pragmatic distinctions they “choose” to encode grammatically, in the same way that some languages morphologically mark aspect or evidentiality and others do not.
5.2 Prosody of negative polar questions in English and German
Before we address the wider questions of the semantics of intonation and its interaction with syntax, a comment is due regarding the exact prosodic form of the English polar questions in our data. Recall that hypothesis 1b remained vague with respect to how proposition checked would be marked prosodically. The prosodic realizations in our data only partially corresponded to descriptions in the literature. Most importantly, while the discussion of utterance-final pitch movements in the literature has centered on rises versus falls (see introduction), final pitch falls were virtually absent from our data. Instead, English negative polar questions in our data overwhelmingly ended in pitch rises, with 85% of utterances having final high H-H% boundary tones and 89% of preceding final accents being low L*. A likely explanation for the differences in final pitch movement are regional differences, in particular the fact that Canadian English is a so-called “uptalk” variety in which many statement utterances end in a high boundary tone (James et al., 1989; Shokeir, 2008; Talla Sando, 2009): it is possible that the final rises in Domaneschi et al.’s (2017) British English data (and potentially those in the American English data evaluated by Hedberg & Sosa, 2002, and Nilsenová, 2006) correspond to high rises in our Western Canadian data, while the absence of a high rise in Western Canadian English may be equivalent to a fall when marking the checked proposition in a negative polar question in British (and American) English. This would mean that Canadian English preserves the distinction between final rises and falls reported for question intonation in other varieties as a distinction in final pitch height: in the relative absence of pitch falls due to uptalk, even utterances with final rises may be perceived as prototypical “statement intonation” (in its “uptalked” variant) as long as the rise is not too high, while only high final rises would thus constitute prototypical “question intonation” appropriate for checking the addressee’s proposition (future perception experiments to determine the boundary between the two categories are desirable). Thus, we predict that our findings can be extended to British and non-uptalk varieties of American English: We hypothesize that in these varieties, HiNQs checking the speaker’s proposition p are realized with final F0 falls and HiNQs checking the addressee’s proposition ¬p are realized with a final F0 rises.
Alternatively, it is possible that our observation of a prosodic disambiguation of Ladd’s ambiguity is a peculiarity of Western Canada that does not extend to other varieties of English. This does, however, seem less likely both in view of the extended discussion regarding the potential functions of final rises and falls in British and American English summarized in the introduction, and based on Ladd’s (1981) original article, in which he discusses the role of prosody in disambiguating the scope of negation and interrogation in tag questions. Furthermore, with the exception of the final boundary tone, the prosodic form of HiNQs in our data corresponded quite closely to previous descriptions of American English. As described by Hedberg and Sosa (2002) and Romero and Han (2002), we mostly found a rising accent on the auxiliary (L+H*< in our data, L+H* in theirs). As described by Romero and Han (2002) this was most frequently followed by a final low L* combined with an H-H% high boundary tone, forming what is generally described as the unmarked question contour (but note the variety of nuclear contours reported by Hedberg & Sosa, 2002).
In a similar vein, it is interesting to note that even though both final pitch rises and final falls have been described as frequent realizations of German polar questions, with various interpretations suggested for the difference (cf. introduction), final falls were in fact rare in our German data, as well. Altogether 74% of the utterances carried high H-^H% or H-% boundary tones and the most frequent accent category for the sentence-final compound noun was the L*+H rise, followed in frequency by the low L* accent. The final fall-rise contour described for biased polar questions by Pheby (1975) was largely absent: this fall-rise contour would either correspond to a GToBI annotation with a combination of a final high H* or rising L+H* accent and a rising boundary tone L-H% or to a combination of a final falling H+L* or H+!H* accent and a high H-^H% or H-% boundary tone. However, L-H% boundary tones occurred in only 11% of the utterances, while final compound nouns were never realized with H+L* accents and only very rarely with H+!H* accents (less than 1% of the data). 10 In fact, the prevalence of final rises in our data corresponds very well with their frequency in Kohler’s (2005b) corpus of spontaneous spoken appointment-making dialogues in German: of 121 polar questions, he found 39% to have a final high rising contour, 30% to have a final low rising contour, and only 21% to end in falls and 10% in other contours. Thus, it seems likely that the intonation contours in our data set are representative of German prosody more generally, so that the present findings shed light on the previously under-described prosodic differences between German HiNQs and LowNQs.
5.3 Intonational meaning
Relating our findings to proposals of intonational meaning, we are first going to discuss results regarding utterance-final pitch movements in English and German before we turn to the realization of accentuation in both languages.
The utterance-final pitch movements in our English data can be quite straightforwardly related to the literature if we are correct that, as suggested above, only the high final rises in our Western Canadian data correspond to rises in other English varieties, whereas the lower final rises are equivalent to falls in other varieties discussed in the literature. If this equivalence is correct, the high rises our participants used preferably to check the addressee’s proposition ¬p correspond to H-H% in other varieties, a boundary tone combination that according to Steedman (2008) directly attributes the responsibility for the propositional content to the addressee. By contrast, the less high or low boundary tones that participants used most often to check their own proposition p (annotated as lower H-H% or the less frequent H-L% or L-L%) would correspond to L-L% in other varieties and thus attribute the responsibility for the propositional content to the speaker according to Steedman (we disregard L-H% boundary tones here and below, as they constituted only 2% of our data overall). Thus, our findings show very good agreement with his account (and related accounts by Gunlogson, 2001, and Escandell-Vidal, 1998, 2017), as the contrast between double-checking the speaker’s versus the addressee’s proposition dovetails with attributing responsibility for the propositional content to the speaker versus the addressee.
The correspondence with Pierrehumbert and Hirschberg’s (1990) account is slightly less clear. According to them, as well as Bartels (1997b, 1999/2013), H-H% points towards the relevance of an upcoming utterance for interpreting the current utterance (in the case of questions like in our data, the upcoming utterance is the expected answer of the addressee). By contrast, L-L% (which would correspond to the lower final rises in our Western Canadian data) does not signal a dependence on an upcoming utterance according to their proposal. At first blush, it is not easy to see why negative polar questions checking the speaker’s proposition p and the addressee’s proposition ¬p should differ in this respect: both seem to convey a similar “forward reference,” to use Pierrehumbert and Hirschberg’s term, to the upcoming expected response of the addressee. 11
However, an alternative interpretation could be constructed based on Bartels’ (1997b, 1999/2013) observation that polar questions with final falling intonation are similar to alternative questions in signaling that the speaker is only interested in a yes or no answer, whereas other answers might be more acceptable when polar questions bear final rising intonation. For example, Do you like it? with a fall is similar to Do you like it or not?, whereas a realization with a rise seems to be more encouraging of the addressee presenting other information. In the semantic-pragmatic literature, Bartels’ description has recently been further developed by Westera (2017; also cf. Bäuerle, 1979; Biezma & Rawlins, 2012). He proposes that polar questions with final falling pitch signal “thematic exhaustivity” whereas the same questions with rising pitch signal that something else, another answer besides yes or no, may be relevant. When combined with Roberts’ (2012) discourse structure framework using questions under discussion (QUDs), this means that the function of rising intonation is to signal that the current QUD has a sibling in the QUD-tree. For example, asking Are you American? with a rise signals that other parallel questions like Are you Canadian? are sub-parts of the same mother-QUD (e.g., What is your nationality?), meaning that the addressee is invited to already answer such questions and that the speaker may in fact ask them next if receiving only a yes or no answer. Such a question could, for example, be asked to start a conversation at a party. By contrast, a US immigration officer would typically ask the same question with falling pitch, which signals that only a yes or no answer is to be given and announces that other nationalities are irrelevant (i.e., sibling QUDs like Are you Canadian? are not relevant). Bringing this back to our results, one could suggest that our English-speaking participants preferably used final high rises when checking the addressees’ proposition ¬p to signal that they were not only interested in double-checking the proposition itself, but also in further information; for example, exactly how much credence the addressees put in their proposition ¬p. By contrast, when participants double-checked their own proposition p, they may have used the lower final rises (which we assume correspond to falls in other varieties of English) to signal that they were indeed only interested in the truth of the proposition itself, and ideally in the addressee confirming that the speaker was right all along.
Turning now to sentence-final pitch movements in the German data, a match with accounts of intonational meaning is not completely straightforward. As summarized in the introduction, various, partially overlapping interpretations have been proposed for the contrast between rises and falls (as well as specific meanings for fall-rises and rise-falls). However, there is little explicit discussion of the contrast between high rises and less-high rising final plateaus, annotated in GToBI as H-^H% versus H-% boundary tones combined with a L*(+H) nuclear accent, which was the most salient contrast in our data. However, Grice and Baumann’s (2002) and Grice et al.’s (2005) tables illustrating common nuclear contours for German show the combination L* H-^H%, which likely corresponds to the final high rises annotated as L*+H H-^H% in our data, as typical for neutral polar questions (or echo questions); see also Braun et al. (2019). While they caution against interpreting their examples as directly illustrating intonational meaning and do not show examples of questions with a L*(+H) H-% contour, it could maybe be concluded that polar questions with less-high rising plateaus, simply by virtue of not being neutral high rises, would convey some kind of bias (in Braun et al., 2019, these contours were used to convey a rhetorical question meaning).
In our German data, the distinction between H-^H% versus H-% boundary tones when following L*+H nuclear accents correlated with the proposition checked by the question. Although the primary marking of this contrast was morpho-syntactic, HiNQs (typically checking the speaker’s proposition p) were more frequently realized with H-^H% than LowNQs (checking ¬p), so that each checked proposition was indirectly associated with a prosodic form. We are unable to say with certainty whether proposition checked was a factor that independently affected morphosyntactic question form and prosody or whether proposition checked affected morphosyntactic form, which in turn affected prosodic realization. However, since morphosyntax and prosody are not independent of each other, it is almost impossible to discuss intonational meaning for our negative question forms. What is interesting, though, is that in contrast to the English data, higher final rises were more strongly associated with checking the speaker’s proposition p than with checking addressee’s proposition ¬p. The reason for this difference could be that in contrast to English, proposition checked is already marked by the morpho-syntactic question type in German. Therefore, prosody can be used for other purposes in German. When checking their own proposition p with a HiNQ, speakers mostly used a clear final high rise (L*(+H) H-^H%) signaling neutrality and thus openness towards the addressee’s position (strongly fragehaltig in Batliner’s, 1989, terms). By contrast, when checking the addressee’s proposition ¬p with a LowNQ, speakers mostly used the less-high rising H-% boundary tones to signal lack of neutrality and that they were ready to accommodate the addressee’s position. This could be related to previous research describing question prosody in terms of politeness as summarized in the introduction.
Next, our results regarding accent realizations can be related to compositional accounts of intonational meaning. Starting again with the English data, the only constituent that showed a significant effect of one of our manipulated variables, proposition checked, was the auxiliary. Here, the most frequent realization was an L+H*> accent, which contrasted with the next-most frequent category, unaccented realizations. In addition to the small, but significant effect of proposition checked (more L+H*> when checking the addressee’s proposition ¬p than when checking the speaker’s proposition p), we observed a larger effect of question type (more L+H*> in HiNQs than in LowNQs). Before discussing these effects, some comments are due on the meaning conveyed by the choice of L+H*(>) as the most frequent accent type.
Pierrehumbert and Hirschberg (1990) state that rising accents (L+H* and L*+H) convey the salience of a scale, with L+H* marking that the accented item is to be believed instead of believing a related item on a scale (i.e., a related item in a set of alternatives in the sense of Rooth, 1985, 1992). This explains why these accents are typically used in corrections or to mark contrasts, as in their example of this naturally occurring exchange:
(6) A: It’s awfully warm for January.
B: It’s even warm for December.
L+H* L H%
(Pierrehumbert & Hirschberg, 1990, p. 296)
By realizing the word December with a L+H* rising accent, B invokes the scale contrasting months of the year and signals that she is making a predication (i.e., not January, but December). Since in our study the truth of the proposition as a whole was under discussion, it makes sense that the L+H*< accent frequently appeared on the auxiliary and negation complex. Prominent accents on the finite verb are typically taken to mark either polarity focus (Goodhue, 2018; Rooth, 1992) or verum focus (Höhle, 1992; Turco et al., 2013). Following Pierrehumbert and Hirschberg’s account, the use of L+H*(<) on auxiliaries in our data could thus be described as the speaker making salient the scale {p, ¬p} (for polarity focus) or the scale {“you are totally sure that ¬p,” “you are quite sure that ¬p,” . . .} (for verum focus).
Taking this meaning of the L+H*< accent as a starting point, two explanations can be given for the effect of question type (L+H*< accents on the auxiliary were more frequent in HiNQs than in LowNQs). First, in both HiNQ and LowNQ, this accent marks focus on the polarity, namely on the negative polarity, of the sentence. Thus, both the auxiliary complex (i.e., Aux + n’t) and the negation could be accented to mark this polarity focus. However, segmental phonology favors the auxiliary over the negation as an accent location for HiNQs, but not for LowNQs: as already mentioned above, the negation is reduced to a clitic in English HiNQs, whereas it is a full prosodic word in LowNQs (Aren’t they . . .? vs. Are they not . . .?). Consequently, negations were never accented, but their host auxiliaries regularly carried accents in HiNQs, whereas in LowNQs, negations almost always carried an accent, but the preceding auxiliaries did not.
Second, Romero and Han (2002) suggest that preposing the auxiliary introduces a
Regarding the effect of proposition checked, the fact that L+H*> accents were slightly more frequent when checking the addressee’s proposition ¬p than when checking their own proposition p could receive various explanations, but at this point, we do not see one that is clearly superior. 12 However, it is important to remember that the effect was small and did not interact with question type. Thus, participants overwhelmingly responded by using HiNQs, in which they mostly realized L+H*> accents on the auxiliaries.
Turning to the accentuation of other constituents, our data fit well with Pierrehumbert and Hirschberg’s (1990) suggestion for the compositional meaning of accents: simple L* accents were most frequently used on verbs and sentence-final compound nouns in our data. L* accents, according to Pierrehumbert and Hirschberg, serve to highlight a constituent, but explicitly exclude it from the speaker’s predication, which is typical of canonical questions, where the speaker does not make a statement but asks the addressee to make one instead.
In contrast to Pierrehumbert and Hirschberg’s account, the accentuation of HiNQs in our English data may be harder to reconcile with Steedman’s (2000, 2008) account. He suggests that L+H* accents, which were the most frequent realization of auxiliaries, mark themes that are mutually believed by the speaker and the hearer—that is, uncontentious—whereas L*+H accents appear on themes that are not marked as agreed between the speaker and the hearer. As there was clearly disagreement in the dialogues in our study, the occurrence of L+H*(<) accents would be unexpected, apart from the fact that it is questionable whether auxiliaries can be themes. His statement that L* accents mark rhemes that are not marked as agreed between speaker and hearer could fit with their occurrence as the most frequent realization of compound nouns, if the accent on this sentence-final constituent is assumed to project a larger rhematic constituent.
Finally, regarding accentuation in the German data, it seems fitting that our German participants mostly used LowNQs to check the addressee’s proposition and in turn mostly realized the negation in these LowNQs with the rising accents L+H* or L*+H, accents that according to Pierrehumbert and Hirschberg (1990) invoke a scale, and frequently a contrast. As the negation is the part of the utterance that was in question in these short dialogues, it makes sense that speakers chose to mark it as contrastive. While both types of rising accents can be used to accomplish this, German speakers employed the L+H* accent slightly more frequently than the L*+H accent (note that we did not statistically evaluate the relative frequency of these two accent types since the main contrast in the realization of German negations was between accented and unaccented). Thus, they used the same accent type that English speakers used primarily on auxiliaries in the same condition; that is, when checking the addressee’s proposition ¬p. Interestingly, in contrast to the English data, speakers also used a sizable amount of L*+H accents, which according to Pierrehumbert and Hirschberg in contrast to L+H* “convey a lack of predication” (1990, p. 296). While Pierrehumbert and Hirschberg’s examples for both accent types come only from statements, they discuss the contrast between H* versus L* accents in polar questions, which likewise contrast with respect to the speaker making a predication in statements: the H* accent typically involves predication—the speaker marks the constituent realized with H* as new and signals that the proposition resulting from inserting this constituent is to be added as a mutual belief—while the L* exempts the constituent bearing it from the predication. Here, they state that in morpho-syntactic polar questions, the contrast between H* and L* is less striking than for statements. However, they remark that H* accents frequently appear in confirmation questions; that is, when the speaker believes the answer will affirm the semantic nucleus of the question (in their example, the expectation is of a yes answer to a positive polar question). Both marking and not marking such an expectation seem appropriate in the contexts we provided to our participants. Importantly, both rising accents highlight the polarity contrast (p vs. ¬p) as expected in the context of our study.
To sum up this discussion, we found several matches between our results and compositional accounts of intonational meaning suggested in the literature—taking into account the morpho-syntactic marking of our data as questions where appropriate. In particular, the effect of proposition checked on the use of high-rising utterance-final pitch in our English data fits well with the meaning suggested for H-H% boundary tones in the literature (attribution of responsibility according to Steedman, 2008, or marking an interest in further information according to Bartels, 1997b, 1999/2013, and others). In contrast, further research is required on the meaning of the contrast between high and less-high utterance-final rises in German (H-^H% vs. H-% in GToBI). Regarding the meaning of accents, we again found good agreement between the frequent use of contrast-marking rising accents on auxiliaries or negations in both our English and German data and the literature (evocation of a scale according to Pierrehumbert & Hirschberg, 1990).
5.4 Conclusion
To conclude, our study of English and German negative polar questions confirmed experimentally that English HiNQs can be used to check both the speaker’s bias for the proposition p and the addressee’s proposition ¬p, whereas German marks this distinction morpho-syntactically (Büring & Gunlogson, 2000; Ladd, 1981). Moreover, we found that speakers of English frequently resolved this ambiguity within HiNQs prosodically by marking the checked proposition through sentence-final pitch movements and accentuation of the auxiliary (high rise boundary tone and rising accent on the auxiliary for checking the addressee’s proposition, normal-high or low boundary tones and less frequently accented auxiliary for checking the speaker’s proposition). By contrast, the prosody of the German negative polar questions was largely dependent on the morpho-syntactic choice, with HiNQs including the negation nicht “not” generally carrying different intonation contours than LowNQs containing the negation kein “no.” Speaker certainty was not directly encoded, but affected the marking of the checked proposition, with higher certainty making the marking more consistent where it occurred—prosodically in English, morpho-syntactically in German.
Footnotes
Appendix A: List of items
List of target questions for all German items.
| Item | HiNQ | LowNQ |
|---|---|---|
| 1. | Berücksichtigen sie nicht eine Lehrermeinung? ‘Aren’t they considering a teacher’s opinion?’ |
Berücksichtigen sie keine Lehrermeinung? ‘Are they not considering a teacher’s opinion?’ |
| 2. | Sanieren sie nicht eine Römervilla? ‘Aren’t they reconstructing a Roman villa?’ |
Sanieren sie keine Römervilla? ‘Are they not reconstructing a Roman villa?’ |
| 3. | Verwenden sie nicht eine Nylonrolle? ‘Aren’t they using a nylon paint roller?’ |
Verwenden sie keine Nylonrolle? ‘Are they not using a nylon paint roller?’ |
| 4. | Beschäftigen sie nicht einen Maurerlehrling? ‘Aren’t they employing a bricklayer apprentice?’ |
Beschäftigen sie keinen Maurerlehrling? ‘Are they not employing a bricklayer apprentice?’ |
| 5. | Veranstalten sie nicht ein Rallyrennen? ‘Aren’t they organising a rally race?’ |
Veranstalten sie kein Rallyrennen? ‘Are they not organising a rally race?’ |
| 6. | Empfehlen sie nicht einen Nierenwärmer? ‘Aren’t they recommending sashes?’ |
Empfehlen sie keinen Nierenwärmer? ‘Are they not recommending sashes?’ |
| 7. | Erwarten sie nicht einen Juraneuling? ‘Aren’t they expecting a law novice?’ |
Erwarten sie keinen Juraneuling? ‘Are they not expecting a law novice?’ |
| 8. | Ersetzen sie nicht eine Neonröhre? ‘Aren’t they replacing a neon lamp?’ |
Ersetzen sie keine Neonröhre? ‘Are they not replacing a neon lamp?’ |
| 9. | Vertreten sie nicht eine Malerinnung? ‘Aren’t they representing a painter’s guild?’ |
Vertreten sie keine Malerinnung? ‘Are they not representing a painter’s guild?’ |
| 10. | Prognostizieren sie nicht eine Mehreinnahme? ‘Aren’t they predicting additional revenue?’ |
Prognostizieren sie keine Mehreinnahme? ‘Are they not predicting additional revenue?’ |
| 11. | Repräsentieren sie nicht einen Wählerwillen? ‘Aren’t they representing [a] voters’ intention?’ |
Repräsentieren sie keinen Wählerwillen? ‘Are they not representing [a] voters’ intention?’ |
| 12. | Importieren sie nicht eine Mangelware? ‘Aren’t they importing a scarce commodity?’ |
Importieren sie keine Mangelware? ‘Are they not importing a scarce commodity?’ |
| 13. | Besuchen sie nicht eine Rummelmeile? ‘Aren’t they visiting a fun fair/amusement mile?’ |
Besuchen sie keine Rummelmeile? ‘Are they not visiting a fun fair/amusement mile?’ |
| 14. | Planen sie nicht einen Angelweiher? ‘Aren’t they planning a fishing pond?’ |
Planen sie keinen Angelweiher? ‘Are they not planning a fishing pond?’ |
| 15. | Tanzen sie nicht einen Ringelreihen? ‘Aren’t they dancing ring-a-ring-a-roses?’ |
Tanzen sie keinen Ringelreihen? ‘Are they not dancing ring-a-ring-a-roses?’ |
| 16. | Errichten sie nicht ein Marmormahnmal? ‘Aren’t they erecting a marble memorial?’ |
Errichten sie kein Marmormahnmal? ‘Are they not erecting a marble memorial?’ |
Appendix B: Accents
Figure AppendixB1 shows the raw number of all accent type realizations by condition (proposition and certainty) for the separate constituents and sentence types. Table C lists the number and percentage of realizations with the most frequent accent realization for all constituents in the English data.
For negations in the English data, Pearson’s chi-squared test with Yates’ continuity correction indicated that the presence of an accent on the negation was significantly influenced by question type, χ2 (1) = 678.57, p < 0.001, i.e. there were significantly fewer accented negations in HiNQ than in LowNQ. However, this could not be confirmed with linear mixed-effects modelling due to the lack of variation in the HiNQ productions, which constituted the majority of the data. Therefore, we did not use question type as a predictor in these models. The resulting best binomial linear mixed-effects model did not indicate any significant effects of checked proposition or certainty, either. The main effect of proposition included in the model was not significant, β = -0.110, SE = 0.319, z = -0.34, p = 0.731. The model further contained a significant fixed effect of trial, β = 0.026, SE = 0.005, z = 5.49, p < 0.001, suggesting that participants accented negations (in LowNQs) more often over the course of the experimental session, as well as a by-participant slope of checked proposition in the random structure.
For utterance-final compound nouns, the best linear fixed-effects model indicated that the most frequent accent category, L*, appeared more often in HiNQs than in LowNQs, β = 15.778, SE = 5.403, z = 2.92, p = 0.004, but no other effects were significant (trimming removed 49 data points or 6%).
In evaluating accentuation of verbs in the English data, we found no significant effect of any of the predictors. We contrasted the most frequent realization, a low L* accent, with a second category comprising all other realizations. Note that there were not enough data points to test a three-way interaction between proposition, certainty and question type.
For German (see Figure AppendixB2, Table D), linear mixed-effects modelling of accentuation of negation words indicated that checked proposition and certainty did not have a significant effect. Instead, the best model only contained an effect of question type, β = -3.932, SE = 0.332, z = –11.85, p < 0.001 (trimming removed 16 data points or 2% or the data). This effect suggested that participants accented negations overall less often in HiNQs than in LowNQs, i.e. HiNQs had a higher proportion of unaccented realizations.
German sentence-final compound nouns were most often realized with rising L*+H accents. This realization was overall more frequent in HiNQs than in LowNQs, as shown by the best binomial linear mixed-effects model, β = 1.818, SE = 0.367, z = 4.95, p < 0.001 (the model additionally contained a by-participant effect of question type). Thus, the accent L*+H was the overall most frequent realization for final compound nouns in both question types, though it accounted for 73% in HiNQs and only for 39% in LowNQs (N = 290 vs. N = 145). Finally, the model included a fixed effect of trial, indicating fewer L*+H accents later in the experimental sessions, β = –0.011, SE = 0.005, z = -2.17, p = 0.030.
For the accentuation of verbs in the German data, we evaluated a binary dependent variable distinguishing H* accents from all other realizations. Again, no significant effect of any of the predictors emerged. However, an insignificant fixed effect of question type, β = 0.365, SE = 0.273, z = 1.33, p = 0.182, was retained in the final model due to the presence of a by-participant effect of question type. In addition to the most frequent realization with H* accents (N = 349 or 46%), German verbs also appeared with low L* accents (N = 203 or 26%), unaccented (N = 90 or 12%), with rising L+H* accents (N = 87 or 11%), with rising L*+H accents (N = 36 or 5%), and with H+!H* and H+L* accents (one realization each).
Acknowledgements
We would like to thank Clara Huttenlauch, Katharina Zahner, and Devon Gozjolko for help with data annotation; Clara Huttenlauch for help with data collection; Keely Morrow for checking the English items; and Oleksiy Bobrov and Achim Kleinmann for technical support. We further thank Juhani Järvikivi for hosting our data collection at the Centre for Comparative Psycholinguistics at the University of Alberta, as well as lab members for practical support.
Funding
The authors disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This work was supported by the German Research Foundation (DFG), Priority Program 1727 “XPrag.de: New Pragmatic Theories based on Experimental Evidence,” project “BiasQ: Bias in Polar Questions” (BR 3428/3-1, RO4247/2-1).
