In: Statistics and Probability
11. Drs. Trautwein and Ammerman are curious if receptive language changed in the non-CI group (from the beginning to the end of the study).
What type of inferential test should be used to test the hypothesis? Why?
If they found significance, what would their conclusions be?
DEHS Data Set for Assessment Projects | ||||||||||||||||
INTD 5064 Applied Statistics for 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 |
Drs. Trautwein and Ammerman are curious if receptive language changed in the non-CI group
To test the hypothesis that there is no difference in means between receptive language index of CI groups and non CI groups, the t statistic for two independent sample is used. The RLI-Post scores for CI subjects and Non Ci subjects are compared using the t statistic in excelby following these steps,
Step 1: Write the data values for RLI-Post scores in excel. The screenshot is shown below,
Step 2: DATA > Data Analysis > t-Test: Two-Sample Assuming Equal Variances > OK. The screenshot is shown below,
Step 3: Select Variable 1 Range: RLI-Post_CI column, Varianle 2 Range: 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 test is,
The p-value is less than 0.05 at 5% significance level. The nulll hypothesis is rejected hence we can state that there is a significant difference between two Respective language index for Ci and Non Ci subjects.