Question

Which of the following is the error term (denominator) used to compute a t-value in an independent samples t-test.

1. 		Standard error of mean computed based on population standard deviation
   		Standard error of mean difference computed based on standard deviation of mean difference between the two sets of associated scores
   		Standard error of mean computed based on pooled standard deviation of the two samples
   		Standard error of mean computed based on sample standard deviation

1. Any research question that can be answered by using a One-way Analysis of Variance (a.k.a., ANOVA, F test) can also be answered by using several t tests. However, several t tests should not be used because the probability of:

   		type I error is increased when using several t tests.
   		type I error is decreased when using several t tests.
   		type II error is increased when using several t tests.
   		type II error is decreased when using several t tests.

Answer 1

i) In independent sample t-test ,we compare two means,

so the denominator of test statistics is standard error of means computed based on pooled standard deviation of the two samples.

#Answer: third option is correct

ii) we use one way ANOVA instead of several t -tests for reduce complexity & repeated work, also it have control over type 1 error

# Answer: first option is correct

type I error increases when using several t-tests