A sample of adults with hearing aids were randomly assigned to one o.pdf

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A sample of adults with hearing aids were randomly assigned to one of three conditions that focused on lists of practice words that are typically challenging for individuals with hearing loss to accurately perceive. Following 12 weeks of structured practice with a speech-language pathologist, they were assessed using a testing of speech perception to yield a “hearing score”. State the null and research hypotheses, assess the assumptions of ANOVA, and interpret the results (F-ratio, post hoc results when applicable), and describe the outcome of the study with respect to null hypothesis. Between-Subjects Factors N ListID List1 24 List2 24 List3 24 List4 24 Descriptive Statistics Dependent Variable:HearingScore ListID Mean Std. Deviation N List1 32.75 7.409 24 List2 29.67 8.058 24 List3 25.25 8.316 24 List4 25.58 7.779 24 Total 28.31 8.372 96 Tests of Between-Subjects Effects Dependent Variable:HearingScore Source Type III Sum of Squares df Mean Square F Sig. Corrected Model 920.458a 3 306.819 4.919 .003 Intercept 76953.375 1 76953.375 1233.793 .000 ListID 920.458 3 306.819 4.919 .003 Error 5738.167 92 62.371 Total 83612.000 96 Corrected Total 6658.625 95 a. R Squared = .138 (Adjusted R Squared = .110) b. Computed using alpha = .05 1. Grand Mean Dependent Variable:HearingScore Mean Std. Error 95% Confidence Interval Lower Bound Upper Bound 28.313 .806 26.712 29.913 2. ListID Dependent Variable:HearingScore ListID Mean Std. Error 95% Confidence Interval Lower Bound Upper Bound List1 32.750 1.612 29.548 35.952 List2 29.667 1.612 26.465 32.868 List3 25.250 1.612 22.048 28.452 List4 25.583 1.612 22.382 28.785 Multiple Comparisons HearingScore Bonferroni (I) ListID (J) ListID Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval Lower Bound Upper Bound List1 List2 3.08 2.280 1.000 -3.06 9.23 List3 7.50* 2.280 .009 1.35 13.65 List4 7.17* 2.280 .013 1.02 13.31 List2 List1 -3.08 2.280 1.000 -9.23 3.06 List3 4.42 2.280 .335 -1.73 10.56 List4 4.08 2.280 .459 -2.06 10.23 List3 List1 -7.50* 2.280 .009 -13.65 -1.35 List2 -4.42 2.280 .335 -10.56 1.73 List4 -.33 2.280 1.000 -6.48 5.81 List4 List1 -7.17* 2.280 .013 -13.31 -1.02 List2 -4.08 2.280 .459 -10.23 2.06 List3 .33 2.280 1.000 -5.81 6.48 Based on observed means. The error term is Mean Square(Error) = 62.371. *. The mean difference is significant at the .05 level. Between-Subjects Factors N ListID List1 24 List2 24 List3 24 List4 24 Solution Null hypothesis: The means of all testing conditions focused are equal Alternative hypothesis: At least one of the means are not equal Assuptions of Anova: 1.Each sample is drawn from normal population. .2.The populaitons have common variance. 3.The samples are independent to each other. 4.The factor effects are additive in nature. The F-value is 4.919, and P-value is 0.003 Since the P-value is less than 0.05 we reject the null hypothesis . hence conclude that at least two of the means are significant. Post hoc results: at 0.05, the list 1 and list 3 are signi.

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