Publications

Displaying 1 - 26 of 26
  • Bentum, M., Ten Bosch, L., Van den Bosch, A., & Ernestus, M. (2019). Listening with great expectations: An investigation of word form anticipations in naturalistic speech. In Proceedings of Interspeech 2019 (pp. 2265-2269). doi:10.21437/Interspeech.2019-2741.

    Abstract

    The event-related potential (ERP) component named phonological mismatch negativity (PMN) arises when listeners hear an unexpected word form in a spoken sentence [1]. The PMN is thought to reflect the mismatch between expected and perceived auditory speech input. In this paper, we use the PMN to test a central premise in the predictive coding framework [2], namely that the mismatch between prior expectations and sensory input is an important mechanism of perception. We test this with natural speech materials containing approximately 50,000 word tokens. The corresponding EEG-signal was recorded while participants (n = 48) listened to these materials. Following [3], we quantify the mismatch with two word probability distributions (WPD): a WPD based on preceding context, and a WPD that is additionally updated based on the incoming audio of the current word. We use the between-WPD cross entropy for each word in the utterances and show that a higher cross entropy correlates with a more negative PMN. Our results show that listeners anticipate auditory input while processing each word in naturalistic speech. Moreover, complementing previous research, we show that predictive language processing occurs across the whole probability spectrum.
  • Bentum, M., Ten Bosch, L., Van den Bosch, A., & Ernestus, M. (2019). Quantifying expectation modulation in human speech processing. In Proceedings of Interspeech 2019 (pp. 2270-2274). doi:10.21437/Interspeech.2019-2685.

    Abstract

    The mismatch between top-down predicted and bottom-up perceptual input is an important mechanism of perception according to the predictive coding framework (Friston, [1]). In this paper we develop and validate a new information-theoretic measure that quantifies the mismatch between expected and observed auditory input during speech processing. We argue that such a mismatch measure is useful for the study of speech processing. To compute the mismatch measure, we use naturalistic speech materials containing approximately 50,000 word tokens. For each word token we first estimate the prior word probability distribution with the aid of statistical language modelling, and next use automatic speech recognition to update this word probability distribution based on the unfolding speech signal. We validate the mismatch measure with multiple analyses, and show that the auditory-based update improves the probability of the correct word and lowers the uncertainty of the word probability distribution. Based on these results, we argue that it is possible to explicitly estimate the mismatch between predicted and perceived speech input with the cross entropy between word expectations computed before and after an auditory update.
  • Bentum, M., Ten Bosch, L., Van den Bosch, A., & Ernestus, M. (2019). Do speech registers differ in the predictability of words? International Journal of Corpus Linguistics, 24(1), 98-130. doi:10.1075/ijcl.17062.ben.

    Abstract

    Previous research has demonstrated that language use can vary depending on the context of situation. The present paper extends this finding by comparing word predictability differences between 14 speech registers ranging from highly informal conversations to read-aloud books. We trained 14 statistical language models to compute register-specific word predictability and trained a register classifier on the perplexity score vector of the language models. The classifier distinguishes perfectly between samples from all speech registers and this result generalizes to unseen materials. We show that differences in vocabulary and sentence length cannot explain the speech register classifier’s performance. The combined results show that speech registers differ in word predictability.
  • Eijk, L., Ernestus, M., & Schriefers, H. (2019). Alignment of pitch and articulation rate. In S. Calhoun, P. Escudero, M. Tabain, & P. Warren (Eds.), Proceedings of the 19th International Congress of Phonetic Sciences (ICPhS 20195) (pp. 2690-2694). Canberra, Australia: Australasian Speech Science and Technology Association Inc.

    Abstract

    Previous studies have shown that speakers align their speech to each other at multiple linguistic levels. This study investigates whether alignment is mostly the result of priming from the immediately preceding
    speech materials, focussing on pitch and articulation rate (AR). Native Dutch speakers completed sentences, first by themselves (pre-test), then in alternation with Confederate 1 (Round 1), with Confederate 2 (Round 2), with Confederate 1 again
    (Round 3), and lastly by themselves again (post-test). Results indicate that participants aligned to the confederates and that this alignment lasted during the post-test. The confederates’ directly preceding sentences were not good predictors for the participants’ pitch and AR. Overall, the results indicate that alignment is more of a global effect than a local priming effect.
  • Felker, E. R., Ernestus, M., & Broersma, M. (2019). Evaluating dictation task measures for the study of speech perception. In S. Calhoun, P. Escudero, M. Tabain, & P. Warren (Eds.), Proceedings of the 19th International Congress of Phonetic Sciences (ICPhS 2019) (pp. 383-387). Canberra, Australia: Australasian Speech Science and Technology Association Inc.

    Abstract

    This paper shows that the dictation task, a well-
    known testing instrument in language education, has
    untapped potential as a research tool for studying
    speech perception. We describe how transcriptions
    can be scored on measures of lexical, orthographic,
    phonological, and semantic similarity to target
    phrases to provide comprehensive information about
    accuracy at different processing levels. The former
    three measures are automatically extractable,
    increasing objectivity, and the middle two are
    gradient, providing finer-grained information than
    traditionally used. We evaluate the measures in an
    English dictation task featuring phonetically reduced
    continuous speech. Whereas the lexical and
    orthographic measures emphasize listeners’ word
    identification difficulties, the phonological measure
    demonstrates that listeners can often still recover
    phonological features, and the semantic measure
    captures their ability to get the gist of the utterances.
    Correlational analyses and a discussion of practical
    and theoretical considerations show that combining
    multiple measures improves the dictation task’s
    utility as a research tool.
  • Felker, E. R., Ernestus, M., & Broersma, M. (2019). Lexically guided perceptual learning of a vowel shift in an interactive L2 listening context. In Proceedings of Interspeech 2019 (pp. 3123-3127). doi:10.21437/Interspeech.2019-1414.

    Abstract

    Lexically guided perceptual learning has traditionally been studied with ambiguous consonant sounds to which native listeners are exposed in a purely receptive listening context. To extend previous research, we investigate whether lexically guided learning applies to a vowel shift encountered by non-native listeners in an interactive dialogue. Dutch participants played a two-player game in English in either a control condition, which contained no evidence for a vowel shift, or a lexically constraining condition, in which onscreen lexical information required them to re-interpret their interlocutor’s /ɪ/ pronunciations as representing /ε/. A phonetic categorization pre-test and post-test were used to assess whether the game shifted listeners’ phonemic boundaries such that more of the /ε/-/ɪ/ continuum came to be perceived as /ε/. Both listener groups showed an overall post-test shift toward /ɪ/, suggesting that vowel perception may be sensitive to directional biases related to properties of the speaker’s vowel space. Importantly, listeners in the lexically constraining condition made relatively more post-test /ε/ responses than the control group, thereby exhibiting an effect of lexically guided adaptation. The results thus demonstrate that non-native listeners can adjust their phonemic boundaries on the basis of lexical information to accommodate a vowel shift learned in interactive conversation.
  • Koppen, K., Ernestus, M., & Van Mulken, M. (2019). The influence of social distance on speech behavior: Formality variation in casual speech. Corpus Linguistics and Linguistic Theory, 15(1), 139-165. doi:10.1515/cllt-2016-0056.

    Abstract

    An important dimension of linguistic variation is formality. This study investigates the role of social distance between interlocutors. Twenty-five native Dutch speakers retold eight short films to confederates, who acted either formally or informally. Speakers were familiarized with the informal confederates, whereas the formal confederates remained strangers. Results show that the two types of interlocutors elicited different versions of the same stories. Formal interlocutors (large social distance) elicited lower articulation rates, and more nouns and prepositions, both indicators of explicit information. Speakers addressing interlocutors to whom social distance was small, however, provided more explicit information with an involved character (i.e. adjectives with subjective meanings). They also used the word and more often as a gap filler or as a way to keep the floor. Furthermore, they were more likely to laugh and to use more interjections, first-person pronouns and direct speech, which are all indicators of involvement, empathy and subjectivity.

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  • Marcoux, K., & Ernestus, M. (2019). Differences between native and non-native Lombard speech in terms of pitch range. In M. Ochmann, M. Vorländer, & J. Fels (Eds.), Proceedings of the ICA 2019 and EAA Euroregio. 23rd International Congress on Acoustics, integrating 4th EAA Euroregio 2019 (pp. 5713-5720). Berlin: Deutsche Gesellschaft für Akustik.

    Abstract

    Lombard speech, speech produced in noise, is acoustically different from speech produced in quiet (plain speech) in several ways, including having a higher and wider F0 range (pitch). Extensive research on native Lombard speech does not consider that non-natives experience a higher cognitive load while producing
    speech and that the native language may influence the non-native speech. We investigated pitch range in plain and Lombard speech in native and non-natives.
    Dutch and American-English speakers read contrastive question-answer pairs in quiet and in noise in English, while the Dutch also read Dutch sentence pairs. We found that Lombard speech is characterized by a wider pitch range than plain speech, for all speakers (native English, non-native English, and native Dutch).
    This shows that non-natives also widen their pitch range in Lombard speech. In sentences with early-focus, we see the same increase in pitch range when going from plain to Lombard speech in native and non-native English, but a smaller increase in native Dutch. In sentences with late-focus, we see the biggest increase for the native English, followed by non-native English and then native Dutch. Together these results indicate an effect of the native language on non-native Lombard speech.
  • Marcoux, K., & Ernestus, M. (2019). Pitch in native and non-native Lombard speech. In S. Calhoun, P. Escudero, M. Tabain, & P. Warren (Eds.), Proceedings of the 19th International Congress of Phonetic Sciences (ICPhS 2019) (pp. 2605-2609). Canberra, Australia: Australasian Speech Science and Technology Association Inc.

    Abstract

    Lombard speech, speech produced in noise, is
    typically produced with a higher fundamental
    frequency (F0, pitch) compared to speech in quiet. This paper examined the potential differences in native and non-native Lombard speech by analyzing median pitch in sentences with early- or late-focus produced in quiet and noise. We found an increase in pitch in late-focus sentences in noise for Dutch speakers in both English and Dutch, and for American-English speakers in English. These results
    show that non-native speakers produce Lombard speech, despite their higher cognitive load. For the early-focus sentences, we found a difference between the Dutch and the American-English speakers. Whereas the Dutch showed an increased F0 in noise
    in English and Dutch, the American-English speakers did not in English. Together, these results suggest that some acoustic characteristics of Lombard speech, such as pitch, may be language-specific, potentially
    resulting in the native language influencing the non-native Lombard speech.
  • Merkx, D., Frank, S., & Ernestus, M. (2019). Language learning using speech to image retrieval. In Proceedings of Interspeech 2019 (pp. 1841-1845). doi:10.21437/Interspeech.2019-3067.

    Abstract

    Humans learn language by interaction with their environment and listening to other humans. It should also be possible for computational models to learn language directly from speech but so far most approaches require text. We improve on existing neural network approaches to create visually grounded embeddings for spoken utterances. Using a combination of a multi-layer GRU, importance sampling, cyclic learning rates, ensembling and vectorial self-attention our results show a remarkable increase in image-caption retrieval performance over previous work. Furthermore, we investigate which layers in the model learn to recognise words in the input. We find that deeper network layers are better at encoding word presence, although the final layer has slightly lower performance. This shows that our visually grounded sentence encoder learns to recognise words from the input even though it is not explicitly trained for word recognition.
  • Nijveld, A., Ten Bosch, L., & Ernestus, M. (2019). ERP signal analysis with temporal resolution using a time window bank. In Proceedings of Interspeech 2019 (pp. 1208-1212). doi:10.21437/Interspeech.2019-2729.

    Abstract

    In order to study the cognitive processes underlying speech comprehension, neuro-physiological measures (e.g., EEG and MEG), or behavioural measures (e.g., reaction times and response accuracy) can be applied. Compared to behavioural measures, EEG signals can provide a more fine-grained and complementary view of the processes that take place during the unfolding of an auditory stimulus.

    EEG signals are often analysed after having chosen specific time windows, which are usually based on the temporal structure of ERP components expected to be sensitive to the experimental manipulation. However, as the timing of ERP components may vary between experiments, trials, and participants, such a-priori defined analysis time windows may significantly hamper the exploratory power of the analysis of components of interest. In this paper, we explore a wide-window analysis method applied to EEG signals collected in an auditory repetition priming experiment.

    This approach is based on a bank of temporal filters arranged along the time axis in combination with linear mixed effects modelling. Crucially, it permits a temporal decomposition of effects in a single comprehensive statistical model which captures the entire EEG trace.
  • Rodd, J., Bosker, H. R., Ten Bosch, L., & Ernestus, M. (2019). Deriving the onset and offset times of planning units from acoustic and articulatory measurements. The Journal of the Acoustical Society of America, 145(2), EL161-EL167. doi:10.1121/1.5089456.

    Abstract

    Many psycholinguistic models of speech sequence planning make claims about the onset and offset times of planning units, such as words, syllables, and phonemes. These predictions typically go untested, however, since psycholinguists have assumed that the temporal dynamics of the speech signal is a poor index of the temporal dynamics of the underlying speech planning process. This article argues that this problem is tractable, and presents and validates two simple metrics that derive planning unit onset and offset times from the acoustic signal and articulatographic data.
  • Troncoso Ruiz, A., Ernestus, M., & Broersma, M. (2019). Learning to produce difficult L2 vowels: The effects of awareness-rasing, exposure and feedback. In S. Calhoun, P. Escudero, M. Tabain, & P. Warren (Eds.), Proceedings of the 19th International Congress of Phonetic Sciences (ICPhS 2019) (pp. 1094-1098). Canberra, Australia: Australasian Speech Science and Technology Association Inc.
  • Ernestus, M. (2014). Acoustic reduction and the roles of abstractions and exemplars in speech processing. Lingua, 142, 27-41. doi:10.1016/j.lingua.2012.12.006.

    Abstract

    Acoustic reduction refers to the frequent phenomenon in conversational speech that words are produced with fewer or lenited segments compared to their citation forms. The few published studies on the production and comprehension of acoustic reduction have important implications for the debate on the relevance of abstractions and exemplars in speech processing. This article discusses these implications. It first briefly introduces the key assumptions of simple abstractionist and simple exemplar-based models. It then discusses the literature on acoustic reduction and draws the conclusion that both types of models need to be extended to explain all findings. The ultimate model should allow for the storage of different pronunciation variants, but also reserve an important role for phonetic implementation. Furthermore, the recognition of a highly reduced pronunciation variant requires top down information and leads to activation of the corresponding unreduced variant, the variant that reaches listeners’ consciousness. These findings are best accounted for in hybrids models, assuming both abstract representations and exemplars. None of the hybrid models formulated so far can account for all data on reduced speech and we need further research for obtaining detailed insight into how speakers produce and listeners comprehend reduced speech.
  • Ernestus, M., & Giezenaar, G. (2014). Een goed verstaander heeft maar een half woord nodig. In B. Bossers (Ed.), Vakwerk 9: Achtergronden van de NT2-lespraktijk: Lezingen conferentie Hoeven 2014 (pp. 81-92). Amsterdam: BV NT2.
  • Ernestus, M., Kočková-Amortová, L., & Pollak, P. (2014). The Nijmegen corpus of casual Czech. In N. Calzolari, K. Choukri, T. Declerck, H. Loftsson, B. Maegaard, J. Mariani, A. Moreno, J. Odijk, & S. Piperidis (Eds.), Proceedings of LREC 2014: 9th International Conference on Language Resources and Evaluation (pp. 365-370).

    Abstract

    This article introduces a new speech corpus, the Nijmegen Corpus of Casual Czech (NCCCz), which contains more than 30 hours of high-quality recordings of casual conversations in Common Czech, among ten groups of three male and ten groups of three female friends. All speakers were native speakers of Czech, raised in Prague or in the region of Central Bohemia, and were between 19 and 26 years old. Every group of speakers consisted of one confederate, who was instructed to keep the conversations lively, and two speakers naive to the purposes of the recordings. The naive speakers were engaged in conversations for approximately 90 minutes, while the confederate joined them for approximately the last 72 minutes. The corpus was orthographically annotated by experienced transcribers and this orthographic transcription was aligned with the speech signal. In addition, the conversations were videotaped. This corpus can form the basis for all types of research on casual conversations in Czech, including phonetic research and research on how to improve automatic speech recognition. The corpus will be freely available
  • Lahey, M., & Ernestus, M. (2014). Pronunciation variation in infant-directed speech: Phonetic reduction of two highly frequent words. Language Learning and Development, 10, 308-327. doi:10.1080/15475441.2013.860813.

    Abstract

    In spontaneous conversations between adults, words are often pronounced with fewer segments or syllables than their citation forms. The question arises whether infant-directed speech also contains phonetic reduction. If so, infants would be presented with speech input that enables them to acquire reduced variants from an early age. This study compared speech directed at 11- and 12-month-old infants with adult-directed conversational speech and adult-directed read speech. In an acoustic study, 216 tokens of the Dutch words allemaal and helemaal from speech corpora were analyzed for duration, number of syllables, and vowel quality. In a perception study, adult participants rated these same materials for reduction and provided phonetic transcriptions. The results show that these two words are frequently reduced in infant-directed speech, and that their degree of reduction is comparable with conversational adult-directed speech. These findings suggest that lexical representations for reduced pronunciation variants can be acquired early in linguistic development

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  • Mizera, P., Pollak, P., Kolman, A., & Ernestus, M. (2014). Impact of irregular pronunciation on phonetic segmentation of Nijmegen corpus of Casual Czech. In P. Sojka, A. Horák, I. Kopecek, & K. Pala (Eds.), Text, Speech and Dialogue: 17th International Conference, TSD 2014, Brno, Czech Republic, September 8-12, 2014. Proceedings (pp. 499-506). Heidelberg: Springer.

    Abstract

    This paper describes the pilot study of phonetic segmentation applied to Nijmegen Corpus of Casual Czech (NCCCz). This corpus contains informal speech of strong spontaneous nature which influences the character of produced speech at various levels. This work is the part of wider research related to the analysis of pronunciation reduction in such informal speech. We present the analysis of the accuracy of phonetic segmentation when canonical or reduced pronunciation is used. The achieved accuracy of realized phonetic segmentation provides information about general accuracy of proper acoustic modelling which is supposed to be applied in spontaneous speech recognition. As a byproduct of presented spontaneous speech segmentation, this paper also describes the created lexicon with canonical pronunciations of words in NCCCz, a tool supporting pronunciation check of lexicon items, and finally also a minidatabase of selected utterances from NCCCz manually labelled on phonetic level suitable for evaluation purposes
  • Schertz, J., & Ernestus, M. (2014). Variability in the pronunciation of non-native English the: Effects of frequency and disfluencies. Corpus Linguistics and Linguistic Theory, 10, 329-345. doi:10.1515/cllt-2014-0024.

    Abstract

    This study examines how lexical frequency and planning problems can predict phonetic variability in the function word ‘the’ in conversational speech produced by non-native speakers of English. We examined 3180 tokens of ‘the’ drawn from English conversations between native speakers of Czech or Norwegian. Using regression models, we investigated the effect of following word frequency and disfluencies on three phonetic parameters: vowel duration, vowel quality, and consonant quality. Overall, the non-native speakers showed variation that is very similar to the variation displayed by native speakers of English. Like native speakers, Czech speakers showed an effect of frequency on vowel durations, which were shorter in more frequent word sequences. Both groups of speakers showed an effect of frequency on consonant quality: the substitution of another consonant for /ð/ occurred more often in the context of more frequent words. The speakers in this study also showed a native-like allophonic distinction in vowel quality, in which /ði/ occurs more often before vowels and /ðə/ before consonants. Vowel durations were longer in the presence of following disfluencies, again mirroring patterns in native speakers, and the consonant quality was more likely to be the target /ð/ before disfluencies, as opposed to a different consonant. The fact that non-native speakers show native-like sensitivity to lexical frequency and disfluencies suggests that these effects are consequences of a general, non-language-specific production mechanism governing language planning. On the other hand, the non-native speakers in this study did not show native-like patterns of vowel quality in the presence of disfluencies, suggesting that the pattern attested in native speakers of English may result from language-specific processes separate from the general production mechanisms
  • Ten Bosch, L., Ernestus, M., & Boves, L. (2014). Comparing reaction time sequences from human participants and computational models. In Proceedings of Interspeech 2014: 15th Annual Conference of the International Speech Communication Association (pp. 462-466).

    Abstract

    This paper addresses the question how to compare reaction times computed by a computational model of speech comprehension with observed reaction times by participants. The question is based on the observation that reaction time sequences substantially differ per participant, which raises the issue of how exactly the model is to be assessed. Part of the variation in reaction time sequences is caused by the so-called local speed: the current reaction time correlates to some extent with a number of previous reaction times, due to slowly varying variations in attention, fatigue etc. This paper proposes a method, based on time series analysis, to filter the observed reaction times in order to separate the local speed effects. Results show that after such filtering the between-participant correlations increase as well as the average correlation between participant and model increases. The presented technique provides insights into relevant aspects that are to be taken into account when comparing reaction time sequences
  • Ernestus, M., & Mak, W. M. (2004). Distinctive phonological features differ in relevance for both spoken and written word recognition. Brain and Language, 90(1-3), 378-392. doi:10.1016/S0093-934X(03)00449-8.

    Abstract

    This paper discusses four experiments on Dutch which show that distinctive phonological features differ in their relevance for word recognition. The relevance of a feature for word recognition depends on its phonological stability, that is, the extent to which that feature is generally realized in accordance with its lexical specification in the relevant word position. If one feature value is uninformative, all values of that feature are less relevant for word recognition, with the least informative feature being the least relevant. Features differ in their relevance both in spoken and written word recognition, though the differences are more pronounced in auditory lexical decision than in self-paced reading.
  • Ernestus, M., & Baayen, R. H. (2004). Analogical effects in regular past tense production in Dutch. Linguistics, 42(5), 873-903. doi:10.1515/ling.2004.031.

    Abstract

    This study addresses the question to what extent the production of regular past tense forms in Dutch is a¤ected by analogical processes. We report an experiment in which native speakers of Dutch listened to existing regular verbs over headphones, and had to indicate which of the past tense allomorphs, te or de, was appropriate for these verbs. According to generative analyses, the choice between the two su‰xes is completely regular and governed by the underlying [voice]-specification of the stem-final segment. In this approach, no analogical e¤ects are expected. In connectionist and analogical approaches, by contrast, the phonological similarity structure in the lexicon is expected to a¤ect lexical processing. Our experimental results support the latter approach: all participants created more nonstandard past tense forms, produced more inconsistency errors, and responded more slowly for verbs with stronger analogical support for the nonstandard form.
  • Ernestus, M., & Baayen, R. H. (2004). Kuchde, tobte, en turfte: Lekkage in 't kofschip. Onze Taal, 73(12), 360-361.
  • Kemps, R. J. J. K., Ernestus, M., Schreuder, R., & Baayen, R. H. (2004). Processing reduced word forms: The suffix restoration effect. Brain and Language, 90(1-3), 117-127. doi:10.1016/S0093-934X(03)00425-5.

    Abstract

    Listeners cannot recognize highly reduced word forms in isolation, but they can do so when these forms are presented in context (Ernestus, Baayen, & Schreuder, 2002). This suggests that not all possible surface forms of words have equal status in the mental lexicon. The present study shows that the reduced forms are linked to the canonical representations in the mental lexicon, and that these latter representations induce reconstruction processes. Listeners restore suffixes that are partly or completely missing in reduced word forms. A series of phoneme-monitoring experiments reveals the nature of this restoration: the basis for suffix restoration is mainly phonological in nature, but orthography has an influence as well.
  • Moscoso del Prado Martín, F., Ernestus, M., & Baayen, R. H. (2004). Do type and token effects reflect different mechanisms? Connectionist modeling of Dutch past-tense formation and final devoicing. Brain and Language, 90(1-3), 287-298. doi:10.1016/j.bandl.2003.12.002.

    Abstract

    In this paper, we show that both token and type-based effects in lexical processing can result from a single, token-based, system, and therefore, do not necessarily reflect different levels of processing. We report three Simple Recurrent Networks modeling Dutch past-tense formation. These networks show token-based frequency effects and type-based analogical effects closely matching the behavior of human participants when producing past-tense forms for both existing verbs and pseudo-verbs. The third network covers the full vocabulary of Dutch, without imposing predefined linguistic structure on the input or output words.
  • Rietveld, T., Van Hout, R., & Ernestus, M. (2004). Pitfalls in corpus research. Computers and the Humanities, 38(4), 343-362. doi:10.1007/s10579-004-1919-1.

    Abstract

    This paper discusses some pitfalls in corpus research and suggests solutions on the basis of examples and computer simulations. We first address reliability problems in language transcriptions, agreement between transcribers, and how disagreements can be dealt with. We then show that the frequencies of occurrence obtained from a corpus cannot always be analyzed with the traditional X2 test, as corpus data are often not sequentially independent and unit independent. Next, we stress the relevance of the power of statistical tests, and the sizes of statistically significant effects. Finally, we point out that a t-test based on log odds often provides a better alternative to a X2 analysis based on frequency counts.

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