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Norms and Standardization of Child and Parent Report Questionnaires and Researcher’s Report Form Child Report Questionnaire Distribution of scores Analyses were carried out to norm and standardize 311 questionnaires completed by children and adolescents who stutter (CWS). As described in the article, the questionnaires were based on 1 which was modified for assessment of CWS (a copy of the Child Report Questionnaire is included as supplementary material). Reponses were obtained from 252 boys and 59 girls. The range of ages of the CWS was from 8 years 0 months to 19 years 7 months (mean was 13 years 1 month and sd was 2 years 6 months). The data were approximately normally distributed, as seen in Figure 1 which shows raw scores and a normal distribution fitted to those scores. The distribution of the raw scores was tested for skewness and kurtosis. The skewness statistic provides information about the symmetry of the distribution and the kurtosis statistic provides information about the peakiness of the distribution. If the distribution was perfectly normal a skewness and kurtosis value of 0 would be obtained. The skewness and kurtosis values of the raw scores on the Child Report Questionnaire were converted to z scores and compared against the values that would be expected by chance alone. Values above 1.96 (p < .05) were considered to be significantly different from chance. Neither skewness (z = 1.239) nor kurtosis (z = -1.201) was significant. Statistics about the distribution of the scores are given in Table 1. The statistics show the distribution of the data showed was fitted reasonably well by a normal distribution. Figure 1. Histogram showing distribution of scores on the Child Report Questionnaire with normal distribution curve fitted. 70 60 50 40 30 Frequency 20 10 0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 Total score on child questionnaire 27.5 30.0 32.5 35.0 Table 1. Descriptive statistics for total scores on the Child Report Questionnaire. Mean Median Std. deviation Skewness Std. error of skewness Kurtosis Std. error of kurtosis 19.17 19.00 5.306 0.171 0.138 -0.398 0.276 Construct reliability (internal consistency of the questionnaire) With regard to questionnaires in general, construct reliability refers to the extent to which the instrument is an effective measure, whilst validity is the extent to which the questionnaire is measuring what it purports to measure. If a questionnaire is unreliable it is impossible for it to be valid; on the other hand it is possible for a questionnaire to be reliable but invalid. Therefore, we report on reliability followed by validity. Cronbach's alpha statistic was used as an indication of how well the set of items (or questions) from the questionnaire measured a single unidimensional latent construct. 2 When the data do not measure a single dimension (they are multidimensional), Cronbach's alpha is low. An alpha value of 0.8 or higher was used here as a measure to see if the psychometric instrument developed was useful. 3 The Cronbach alpha coefficient for the Child Report Questionnaire was 0.81. This indicates high internal consistency of the items, so the Questionnaire is reliable. Test-retest reliability Next reliability across test occasions (test-retest reliability) was assessed. Fifty-one of the participants were tested twice (the median test-retest interval was 13 days). The correlation coefficient of the two sets of scores was .74 which indicates test-retest reliability is acceptable. 4 Minimum score, maximum score, mean and standard deviation are given separately for the two test occasions in Table 2. Table 2. Descriptive statistics for total scores on two test occasions for the Child Report Questionnaire. Time 1 Time 2 N Minimum Maximum Mean 51 51 10 9 32 28 18.98 18.76 Std. deviation 4.860 4.348 Internal (construct) validity Internal (construct) validity was assessed by examining the structure of the test. This was done by looking at the relationship between responses to different test items. An unrotated principal axis factor was used to do this and the analysis supported the interpretation that the test measured two factors. The principal factor accounted for 44.9% of variance and all items loaded at .45 or above on this factor. The second factor accounted for a further 13.6% of the variance. The identity of the factors was established by rotating the factors. In this analysis, it was apparent that items 1, 2, 7 and 8 loaded heavily on the first factor (.6 and above) and items 3, 4, 5, and 6 loaded heavily on the second factor (again .6 and above). Examination of the Child Report Questionnaires showed that the items loading on the first factor were all related to how the child currently felt (for example, “How would you currently rate your speech”). The items that loaded on the second factor were all related to comparative assessments (for example, “How much are you stuttering/stammering now, compared to before you first saw your speech therapist”). The interpretation of both factors is in terms of judgments either about current stuttering alone or how this related to their stuttering in the past. The questionnaire that measures both factors provides a valid measure of stuttering over time. External (criterion) validity Criterion validity is a measure of how well set of variables predict an outcome based on information from other related variables. To assess criterion validity, the raw total score from the Child Report Questionnaire and stuttering severity (SSI-3) scores 5 for the corresponding child for 183 of the children were available. The Child Report Questionnaire showed a high correlation with the SSI-3 scores (r = .66). A linear regression model showed that the raw score from the Child Report Questionnaire was a significant predictor of the child’s SSI-3 score (the regression model accounted for 43.1% of the variance in SSI-3 scores). ANOVA indicated that the amount of variance accounted for was significantly above zero (the null expectation) F(1,180) = 138.11, p <.001). Standardization Total raw scores from the 311 questionnaires used for the criterion validity analysis were standardized to t scores with a mean of 50 and an sd of 10. Scores below 21 on the Child Report Questionnaire were considered fluent. This was based on analyses of groups of 35 fluent speakers aged 8-10 and 19 aged 12 plus who had SSI-3 scores up to, but not above 20.6 An SSI-3 score of 21 is at the 41st percentile of SSI-3, and SSI-3 scores of 21 and below represent mild or very mild stuttering. 5 When the 183 questionnaires from respondents where we also had SSI-3 scores were examined, 71 out of 87 (81.6%) low scores on the Child Report Questionnaire related to children whose SSI-3 scores were lower than or equal to 20 on the SSI-3 (at the 40th percentile and below on the SSI-3, which is referred to as mild or very mild stuttering). Eightysix out of 96 (89.6%) high scores on the Child Report Questionnaire related to children whose SSI-3 scores were greater than or equal to 21. Percentiles for the Child Report Questionnaire raw scores are given in Table 3. Table 3. Raw Child Report Questionnaire scores and corresponding percentiles based on 311 questionnaires. SSI-3 taxonomic severity ratings and actual SSI-3 values are given for the same percentiles. Total Raw Score on Child Report Questionnaire 9 – 10 11 – 12 13 – 15 16 – 17 18 – 21 22 – 23 24 – 25 26 – 28 Percentile 1-4 5 - 11 12 - 23 24 - 40 41 - 60 61 – 77 78 – 88 89 – 95 SSI-3 severity rating for same percentiles Very mild Very mild Mild Mild Moderate Moderate Severe Severe Raw SSI-3 scores 6-8 9-10 11-15 16-20 21-23 24-27 28-31 32-35 96 – 99 29 and up Very Severe 36 and up Parent Report Questionnaire Distribution of scores Analyses were carried out to norm and standardize the 302 questionnaires completed by parents of CWS. The questionnaires were again based on 1 but this time the questions asked about the parent’s view about the CWS (so the questions were altered to refer to the child in the third person). There were 246 boys and 56 girls about whom the parents reported. The ages of the CWS ranged from 8 years 0 months to 19 years 7 months (mean was 12 years 11 months and sd was 2 years 6 months). The parental data were normally distributed, as shown in Figure 2. The skewness and kurtosis values of the raw scores on the Parent Report Questionnaire were converted to z scores and compared against values that would be expected based on chance alone and found not to be significant (Skewness z = 0.857; Kurtosis z = -1.485). Statistics about the distribution are given in Table 4 which, as was found with the child version, showed there was no discrepancy from normality. Figure 2. Histogram showing distribution of scores on the Parent Report Questionnaire with normal distribution curve fitted. 60 50 40 30 Frequency 20 10 0 7.5 12.5 10.0 17.5 15.0 22.5 20.0 27.5 25.0 32.5 30.0 37.5 35.0 40.0 Total score on Parent Questionnaire Table 4. Descriptive statistics for the total scores on the Parent Report Questionnaire. Mean Median Std. deviation Skewness Std. error of Skewness Kurtosis Std. error of kurtosis 21.64 21.00 6.294 0.120 0.140 -0.617 0.280 Construct reliability (internal consistency of the questionnaire) Cronbach's alpha was again used as an indication of how well the set of items from the questionnaire measured a single unidimensional latent construct. The Cronbach alpha coefficient for the Parent Report Questionnaire was 0.87. This indicates high internal consistency so the questionnaire is reliable. 3 Test-retest reliability Test-retest reliability was assessed on 51 participants who were tested twice (the median test-retest interval was 13 days). The correlation coefficient for the two sets of scores was .85, which indicates good reliability. 4 Minimum score, maximum score, mean and standard deviation are given separately for the two test occasions in Table 5. Table 5. Descriptive statistics on two test occasions for the Parent Report Questionnaire. Time 1 Time 2 N Minimum Maximum Mean 51 51 8.00 10.00 33.00 39.00 21.1373 21.6078 Std. deviation 6.22903 6.40649 Internal (construct) validity An unrotated, principal axis factor analysis showed all of the questions in the Parent Report Questionnaire loaded at .6 or above on a single factor. This factor accounted for 54.3% of the variance in the questionnaire. All the questions in the Parent Report Questionnaire refer to stuttering (current and past) by the child. As such, the factor provides an integrated impression of stuttering over time. Recall that current and past stuttering weighted on different factors for the children’s responses. These differences in the way parents and children evaluate stuttering is interesting, but cannot be discussed here. The statistical analysis suggests that the parent questionnaire provides a valid measure of stuttering across time for their child. External (criterion) validity Criterion validity was assessed using the raw total scores from the Parent Report Questionnaire and the corresponding SSI-3 scores for the child. These pairs of scores were available for 182 parent-child pairs. The Parent Report scores correlated highly with the SSI-3 score (r = .65). A linear regression analysis showed that the raw score from the Parent Report Questionnaire was a significant predictor of SSI-3 score (the regression model accounted for 44.9% of the variance in SSI-3 scores). ANOVA indicated that the amount of variance accounted for was significantly different above zero F(1,180) = 148.30, p <.001. Standardization Total raw scores from the 302 Parent Report Questionnaires used in the criterion validity analysis were standardized to t scores with a mean of 50 and an sd of 10. The same cutoff of 21 as was used with the child form. Eighty-five out of 93 (91.4%) high scores on the Parent Report Questionnaire related to children whose SSI-3 scores were greater than or equal to 21. Seventy-two out of 89 (80.9%) low scores on the Parent Report Questionnaire related to children whose SSI-3 scores were less than or equal to 20. Percentiles for the Parent Report Questionnaire raw scores are given in Table 6. The percentiles are given so the SSI-3 column corresponds to that reported by Riley. 5 Table 6. Raw Parent Report Questionnaire scores and corresponding percentiles based on 302 questionnaires. SSI-3 taxonomic severity ratings and actual SSI-3 values are given for the same percentiles. Total Raw Score on Parent Report Questionnaire 9 – 10 11 – 14 14 -1 6 17 – 19 20 – 23 24 – 27 27 – 29 30 – 32 33 and up Percentile 1–4 5 – 11 12 – 23 24 – 40 41 - 60 61 – 77 78 – 88 89 – 95 96 – 99 SSI-3 severity rating for same percentiles Very mild Very mild Mild Mild Moderate Moderate Severe Severe Very Severe Raw SSI-3 scores 6-8 9-10 11-15 16-20 21-23 24-27 28-31 32-35 36 and up Researcher’s Report Form Distribution of scores Analyses were carried out to norm and standardize the 328 Researcher’s Report Forms about the CWS. The reports were intended for assessment of CWS and to assist designation as persistent or recovered. There were 267 boys and 61 girls and the sample ranged in age from 8 years 1 month to 19 years 11 months (with a mean of 13 years 0 months and an sd of 2 years 7 months). As seen in Figure 3, the data were normally distributed (Skewness z = 0.770; Kurtosis z = -1.789). Statistics about the distribution are given in Table 7. These show that the distribution of raw scores from the Researcher’s Report Form was not significantly different from normal. Figure 3. Histogram showing distribution of scores on the Researcher’s Report Form with normal distribution curve fitted. 80 60 40 Frequency 20 0 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 Total score on researcher report Table 7. Descriptive statistics of total scores on the Researcher’s Report Form. Mean Median Std. deviation Skewness Std. error of skewness Kurtosis Std. error of kurtosis 4.00 4.00 1.909 -0.104 0.135 -0.858 0.268 The Researcher’s Report Form was designed as a scale to rate observations about the children and, as such, was not a psychometric measure. Consequently, construct reliability, test-retest reliability and internal validity were not relevant and were not computed. External (criterion) validity There were SSI-3 scores for 153 of the children who were assessed by a Researcher’s Report Form. The raw total scores from the Researcher’s Report Form correlated highly with the SSI-3 score (r=.77). A linear regression analysis showed that the raw score from the Researcher’s Report Form was a significant predictor of SSI-3 score, and this accounted for 58.4% of the variance in SSI-3 scores. ANOVA indicated that the amount of variance accounted for was significantly above zero F(1,151) = 214.82, p<.001. Standardization The total raw scores from 328 Researcher’s Report Forms were standardized to t scores with a mean of 50 and an sd of 10. A cutoff value of 5 was used to distinguish low dysfluency scores (lower values) from high dysfluency scores. Seventy-four out of 89 (83.2%) high scores on the Researcher’s Report Form related to SSI-3 scores greater than or equal to 21 (at the 41st percentile and above of SSI-3) which corresponds to stuttering rated as moderate, severe or very severe). Fifty-five out of 64 (85.9%) low scores on the Researcher’s Report Form related to SSI-3 scores less than or equal to 20 (at the 40th percentile and below on SSI-3, where stuttering was classed as mild or very mild). Percentiles for the Researcher’s Report Form raw scores are given in Table 8 below. Table 8. Raw Researcher’s Report Form scores and corresponding percentiles based on 328 questionnaires. SSI-3 taxonomic severity ratings and actual SSI-3 values are given for the same percentiles. Total Raw Score on Parent Report Questionnaire 0–1 1 2 2–3 4–5 5 6 6–7 8 and up Percentile 1-4 5 - 11 12 - 23 24 - 40 41 - 60 61 – 77 78 – 88 89 – 95 96 – 99 SSI-3 severity rating for same percentiles Very mild Very mild Mild Mild Moderate Moderate Severe Severe Very Severe Raw SSI3 scores 6-8 9-10 11-15 16-20 21-23 24-27 28-31 32-35 36 and up References 1. Boberg E, Kully D. Long-term results of stuttering treatment program. J Speech Hear Res 1994;37:1050-1059. 2. Cronbach LJ. Coefficient alpha and the internal structure of tests. Psychometrika 1951;16:297-333. 3. Bryman A. Cramer D. Quantitative Data Analysis. London: Routledge, 1999. 4. Murphy KR, Davidshofer CO. Psychological testing: Principles and applications (4th edition). New Jersey: Prentice Hall International, Inc., 1996 5. Riley GD. Stuttering Severity Instrument for Children and Adults, Third Edition. Austin, TX: Pro-Ed, 1994. 6, Howell P, Davis S, Williams R. Late childhood stuttering. J Speech Lang Hear Res in press.