11. Drs. Trautwein and Ammerma
11. Drs. Trautwein and Ammerman are curious if receptivelanguage changed in the non-CI group (from the beginning to the endof the study).
What type of inferential test should be used to test thehypothesis? Why?
If they found significance, what would their conclusions be?
| DEHS Data Set forAssessment Projects | ||||||||||||||||
| INTD 5064 Applied Statisticsfor Health Care Practitioners | ||||||||||||||||
| CI Subjects | ||||||||||||||||
| Subject ID | Group | Gender | Mode of Communication | ESP-Pre | TL-Pre | AC-Pre | EC-Pre | ESP Post | CLS-Post | RLI-Post | ELI-Post | LCI-Post | LSI-Post | GF-Post | ||
| C01 | 1 | 1 | 1 | 1 | 86 | 89 | 95 | 3 | 95 | 96 | 99 | 90 | 88 | 101 | ||
| C02 | 1 | 2 | 1 | 1 | 82 | 85 | 85 | 3 | 85 | 89 | 87 | 83 | 78 | 89 | ||
| C03 | 1 | 1 | 1 | 1 | 85 | 78 | 80 | 3 | 90 | 92 | 88 | 88 | 84 | 85 | ||
| C04 | 1 | 1 | 1 | 2 | 81 | 81 | 82 | 2 | 80 | 88 | 84 | 79 | 76 | 105 | ||
| C05 | 1 | 2 | 1 | 1 | 92 | 95 | 100 | 4 | 100 | 100 | 95 | 98 | 104 | 82 | ||
| C06 | 1 | 1 | 1 | 1 | 79 | 80 | 72 | 4 | 92 | 94 | 90 | 92 | 82 | 90 | ||
| C07 | 1 | 1 | 1 | 1 | 78 | 80 | 74 | 3 | 84 | 88 | 79 | 86 | 80 | 80 | ||
| C08 | 1 | 2 | 1 | 1 | 111 | 115 | 102 | 3 | 120 | 122 | 112 | 109 | 110 | 102 | ||
| C09 | 1 | 1 | 1 | 2 | 87 | 89 | 79 | 4 | 88 | 92 | 87 | 87 | 82 | 82 | ||
| C10 | 1 | 2 | 1 | 2 | 99 | 98 | 89 | 4 | 100 | 98 | 90 | 104 | 106 | 95 | ||
| C11 | 1 | 1 | 1 | 1 | 67 | 69 | 68 | 3 | 79 | 84 | 82 | 70 | 78 | 77 | ||
| C12 | 1 | 2 | 2 | 1 | 102 | 100 | 98 | 2 | 95 | 98 | 93 | 96 | 90 | 82 | ||
| C13 | 1 | 1 | 2 | 1 | 74 | 74 | 70 | 2 | 70 | 72 | 70 | 71 | 68 | 74 | ||
| C14 | 1 | 2 | 2 | 1 | 68 | 65 | 70 | 1 | 67 | 69 | 66 | 65 | 68 | 70 | ||
| C15 | 1 | 1 | 2 | 1 | 95 | 90 | 101 | 2 | 90 | 92 | 88 | 85 | 95 | 87 | ||
| C16 | 1 | 1 | 2 | 1 | 75 | 77 | 76 | 2 | 72 | 75 | 70 | 74 | 68 | 69 | ||
| Non CI Subjects | ||||||||||||||||
| Subject ID | Group | Gender | Mode of Communication | ESP-Pre | TL-Pre | AC-Pre | EC-Pre | ESP Post | CLS-Post | RLI-Post | ELI-Post | LCI-Post | LSI-Post | GF-Post | ||
| S01 | 2 | 2 | 2 | 1 | 95 | 89 | 100 | 2 | 93 | 89 | 85 | 100 | 92 | 82 | ||
| S02 | 2 | 1 | 2 | 1 | 87 | 85 | 95 | 1 | 80 | 83 | 82 | 80 | 78 | 70 | ||
| S03 | 2 | 2 | 2 | 2 | 76 | 78 | 80 | 1 | 78 | 72 | 70 | 77 | 80 | 65 | ||
| S04 | 2 | 1 | 2 | 1 | 75 | 73 | 72 | 2 | 73 | 71 | 72 | 75 | 72 | 68 | ||
| S05 | 2 | 1 | 2 | 1 | 79 | 78 | 80 | 1 | 80 | 70 | 72 | 85 | 81 | 63 | ||
| S06 | 2 | 1 | 2 | 1 | 77 | 78 | 74 | 1 | 75 | 77 | 68 | 85 | 70 | 71 | ||
| S07 | 2 | 1 | 2 | 1 | 78 | 80 | 72 | 2 | 72 | 75 | 70 | 72 | 69 | 60 | ||
| S08 | 2 | 2 | 2 | 1 | 77 | 81 | 75 | 1 | 80 | 89 | 73 | 75 | 78 | 65 | ||
| S09 | 2 | 1 | 2 | 1 | 87 | 88 | 84 | 1 | 80 | 84 | 80 | 75 | 80 | 68 | ||
| S10 | 2 | 1 | 2 | 1 | 89 | 98 | 82 | 3 | 90 | 100 | 85 | 85 | 85 | 78 | ||
| S11 | 2 | 2 | 2 | 1 | 90 | 94 | 92 | 1 | 85 | 90 | 82 | 79 | 87 | 72 | ||
| S12 | 2 | 1 | 2 | 1 | 73 | 78 | 72 | 1 | 70 | 74 | 67 | 79 | 68 | 66 | ||
| S13 | 2 | 2 | 2 | 1 | 74 | 74 | 75 | 1 | 70 | 72 | 69 | 67 | 75 | 67 | ||
| S14 | 2 | 2 | 2 | 1 | 68 | 65 | 68 | 2 | 62 | 60 | 61 | 67 | 60 | 55 | ||
| S15 | 2 | 1 | 2 | 1 | 75 | 74 | 72 | 1 | 71 | 77 | 67 | 75 | 71 | 70 | ||
| S16 | 2 | 1 | 2 | 1 | 74 | 77 | 73 | 1 | 77 | 74 | 68 | 80 | 72 | 65 | ||
Answer:
Drs. Trautwein and Ammerman are curious if receptive languagechanged in the non-CI group
To test the hypothesis that there is no difference in meansbetween receptive language index of CI groups and non CI groups,the t statistic for two independent sample is used. The RLI-Postscores for CI subjects and Non Ci subjects are compared using the tstatistic in excelby following these steps,
Step 1: Write the data values for RLI-Post scores in excel. Thescreenshot is shown below,
Step 2: DATA > Data Analysis > t-Test: Two-Sample AssumingEqual Variances > OK. The screenshot is shown below,
Step 3: Select Variable 1 Range: RLI-Post_CI column, Varianle 2Range: RLI-Post_Non CI column, Input Hypothesized Mean Difference =0 and Alpha = 0.05. the screenshot is shown below,
The result is obtained. the screesnshot is shown below,
From the result summary the P-value for the two tailed t testis,
The p-value is less than 0.05 at 5% significance level. Thenulll hypothesis is rejected hence we can state that there is asignificant difference between two Respective language index for Ciand Non Ci subjects.
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