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Table 10-12. Hypothetical Study Comparing Performance of Children with Communication Disorders (CD), Their Chronological Aged-Matched Peers (Chron-matched), and Their Communication-Age Matched Peers (Comm-matched) Descriptive Statistics New Method Old Method Source Group Method Group by Method Error Total df 2 1 2 30 35 Children with CD M = 54.00 SD = 2.28 n=6 M = 45.92 SD = 2.20 n=6 Sums of Squares Analysis of Variance 6.51 88.67 140.51 Chron-Matched M = 49.33 SD = 2.16 n=6 189.04 424.74 M=51.17 SD= 2.14 n=6 Mean Square F-ratio 0.52 14.07 11.15 3.26 88.67 70.26 Comm-Matched M = 51.33 SD = 2.28 n=6 6.30 M=47.41 SD= 2.24 n=6 Probability 0.60 0.0008 0.0002

Table 10-12. Hypothetical Study Comparing Performance of Children with Communication Disorders (CD), Their Chronological Aged-Matched Peers (Chron-matched), and Their Communication-Age Matched Peers (Comm-matched) Descriptive Statistics New Method Old Method Source Group Method Group by Method Error Total df 2 1 2 30 35 Children with CD M = 54.00 SD = 2.28 n=6 M = 45.92 SD = 2.20 n=6 Sums of Squares Analysis of Variance 6.51 88.67 140.51 Chron-Matched M = 49.33 SD = 2.16 n=6 189.04 424.74 M=51.17 SD= 2.14 n=6 Mean Square F-ratio 0.52 14.07 11.15 3.26 88.67 70.26 Comm-Matched M = 51.33 SD = 2.28 n=6 6.30 M=47.41 SD= 2.24 n=6 Probability 0.60 0.0008 0.0002

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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The analysis in Table 10–12 is from a hypothetical study comparing performance of children with communication disorders, their chronological age-matched peers, and their communication age-matched peers. The study had two independent variables: a group variable that was nonexperimental and a method variable that was experimental. The information reported includes descriptive statistics for the three groups of children across the two methods. The inferential data analysis was a two-way analysis of variance (ANOVA) with group and method as the independent variables. First, examine the descriptive statistics. What do you think might have happened in this study? You might consider entering the means in a spreadsheet and generating a bar graph or line graph.

### Hypothetical Study: Comparing Performance of Children with Communication Disorders #### Descriptive Statistics This section displays the mean (M), standard deviation (SD), and sample size (n) for children in three different groups: Children with Communication Disorders (CD), Chronologically-Aged Matched (Chron-Matched), and Communication-Age Matched (Comm-Matched). Results are presented for both a new teaching method and an old teaching method. - **New Method:** - **Children with CD:** M = 54.00, SD = 2.28, n = 6 - **Chron-Matched:** M = 49.33, SD = 2.16, n = 6 - **Comm-Matched:** M = 51.33, SD = 2.28, n = 6 - **Old Method:** - **Children with CD:** M = 45.92, SD = 2.20, n = 6 - **Chron-Matched:** M = 51.17, SD = 2.14, n = 6 - **Comm-Matched:** M = 47.41, SD = 2.24, n = 6 #### Analysis of Variance (ANOVA) The ANOVA table assesses the effects of the different teaching methods and group categorizations on performance outcomes. - **Source of Variation:** - **Group:** df = 2, Sums of Squares = 6.51, Mean Square = 3.26, F-ratio = 0.52, Probability = 0.60 - **Method:** df = 1, Sums of Squares = 88.67, Mean Square = 88.67, F-ratio = 14.07, Probability = 0.0008 - **Group by Method Interaction:** df = 2, Sums of Squares = 140.51, Mean Square = 70.26, F-ratio = 11.15, Probability = 0.0002 - **Error:** df = 30, Sums of Squares = 189.04, Mean Square = 6.30 - **Total:** df = 35, Sums of Squares = 424.74 Interpretation of this data suggests significant effects of the teaching method and interaction between group and method on performance
Transcribed Image Text:### Hypothetical Study: Comparing Performance of Children with Communication Disorders #### Descriptive Statistics This section displays the mean (M), standard deviation (SD), and sample size (n) for children in three different groups: Children with Communication Disorders (CD), Chronologically-Aged Matched (Chron-Matched), and Communication-Age Matched (Comm-Matched). Results are presented for both a new teaching method and an old teaching method. - **New Method:** - **Children with CD:** M = 54.00, SD = 2.28, n = 6 - **Chron-Matched:** M = 49.33, SD = 2.16, n = 6 - **Comm-Matched:** M = 51.33, SD = 2.28, n = 6 - **Old Method:** - **Children with CD:** M = 45.92, SD = 2.20, n = 6 - **Chron-Matched:** M = 51.17, SD = 2.14, n = 6 - **Comm-Matched:** M = 47.41, SD = 2.24, n = 6 #### Analysis of Variance (ANOVA) The ANOVA table assesses the effects of the different teaching methods and group categorizations on performance outcomes. - **Source of Variation:** - **Group:** df = 2, Sums of Squares = 6.51, Mean Square = 3.26, F-ratio = 0.52, Probability = 0.60 - **Method:** df = 1, Sums of Squares = 88.67, Mean Square = 88.67, F-ratio = 14.07, Probability = 0.0008 - **Group by Method Interaction:** df = 2, Sums of Squares = 140.51, Mean Square = 70.26, F-ratio = 11.15, Probability = 0.0002 - **Error:** df = 30, Sums of Squares = 189.04, Mean Square = 6.30 - **Total:** df = 35, Sums of Squares = 424.74 Interpretation of this data suggests significant effects of the teaching method and interaction between group and method on performance
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