Question

In: Statistics and Probability

Which of the following statements are true and which are false? a) The magnitude of the...

Which of the following statements are true and which are false?

a) The magnitude of the intercept, a, quantifies the steepness of the regression line

b) We can apply one-way ANOVA to compare two independent samples.

c) In one-way ANOVA we test the following hypotheses:

H0: just one group-specific mean is different form the rest

H1: all group-specific means are different

d)One-way ANOVA cannot be applied if we have a paired-sample design.

Solutions

Expert Solution

a) The magnitude of the intercept, a, quantifies the steepness of the regression line

Ans: False

b) We can apply one-way ANOVA to compare two independent samples.

ANs: False

c) In one-way ANOVA we test the following hypotheses:

H0: just one group-specific mean is different form the rest

H1: all group-specific means are different

Ans: False

d)One-way ANOVA cannot be applied if we have a paired-sample design.

Ans: False

The one-way analysis of variance (ANOVA) is used to determine whether there are any statistically significant differences between the means of three or more independent (unrelated) groups


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