Multiple Comparisons Dependent Variable: Depression Mean 95% Confidence Interval

Question

Multiple Comparisons Dependent Variable: Depression Mean 95% Confidence Interval (I) VAR00002 (J) VAR00002 Difference (I-J) Std. Error Sg Lower Bound Upper Bound 2.00 6.36364 88252 8.8610 5.4974 4.4974 2.3155 8.8610 3.8663 .8663 1.8663 4.0481 .5026 3.8663 5026 -4974 2.6792 3.00 3.00000 88252 2.00000 88252 5.00 18182 1.000 88252 6.3636488252 88252 88252 88252 88252 2.00 3.00 -5.8610 6.8610 9.0428 -5.4974 8663 3.4974 5.6792 4.4974 1.8663 -1.4974 4.6792 -2.3155 4.0481 6845 3155 4.36364 6.54545 3.00000 3.36364 5.8610 88252003 .788 006 173 -1,000000 882528 1.4974 6845 4974 6.8610 3.4974 3155 2.6792 9.0428 5.6792 4.6792 3.18182 88252 20000088252 4.3636488252 1.0000088252 88252 88252 88252 88252 88252 2.00 788 2.18182 18182 6.54545 3.18182 2.18182 5.00 3.00 006 What type of statistical test is represented by this table? Without using the Critical Value table, were there any statistically significant results at the 05-level? If so, what results were statistically significant? Without using the Critical Value table, were there any statistically significant results at the.01-level? If so, what results were statistically significant? Would you run a post hoc comparison for this data? Explain

Explanation / Answer

Answers:

Question 1

For the given scenario, the multiple comparisons table is given. For this table, the t test is used for the comparison between the two population means for checking or testing whether there is any statistically significant difference between the two population means. Note, this table is only used for comparison between two population means.

Question 2

Now, without using critical values, we have to find statistically significant results at 0.05 significance level. Results are significant if the p-value is less than 0.05.

From the given table, it is observed that pairs 1.00 and 2.00, 1.00 and 3.00, 2.00 and 3.00, 2.00 and 4.00, 2.00 and 5.00, and 3.00 and 5.00, are statistically significant; because for these pairs the p-values are less than 0.05 alpha level of significance.

Question 3

Now, we have to find statistically significant results at 0.01 alpha level of significance. From the given table, it is observed that the pairs 1.00 and 2.00, 2.00 and 3.00, 2.00 and 4.00, 2.00 and 5.00, 3.00 and 5.00, are statistically significant; because for these pairs the p-values are less than 0.01 alpha level of significance.

Note, treatment names or groups names are not mentioned in the given table, so numbers instead of group name or treatment names are used for multiple comparisons.

Question 4

We would use post hoc test for this data, because we do not get significant results for all pairs of multiple comparisons.

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