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\"The complexity of the two-way ANOVA differs from that of the t tests and the o

ID: 3363817 • Letter: #

Question

"The complexity of the two-way ANOVA differs from that of the t tests and the one-way ANOVAs in that,"

"two factors can be observed using the two-way ANOVA, but not using the t tests and the one-way ANOVAs"

"an interaction can be observed using the two-way ANOVA, but not using the t tests and the one-way ANOVAs"

"three hypothesis are made with one statistical test using the two-way ANOVA, but not using the t tests and the one-way ANOVAs"

all of the above

"two factors can be observed using the two-way ANOVA, but not using the t tests and the one-way ANOVAs"

"an interaction can be observed using the two-way ANOVA, but not using the t tests and the one-way ANOVAs"

"three hypothesis are made with one statistical test using the two-way ANOVA, but not using the t tests and the one-way ANOVAs"

all of the above

Explanation / Answer

"The complexity of the two-way ANOVA differs from that of the t tests and the one-way ANOVAs in that,"

ANS: "an interaction can be observed using the two-way ANOVA, but not using the t tests and the one-way ANOVAs"

Because, 1) A two-way ANOVA is more complex in that the levels of two factors (not one factor) are observed in a single study. Like the t tests and the one-way ANOVA, the two way ANOVA can be used when different participants are observed in each group or at each level of one factor (between subjects design), and when the same participants are observed in each group or across the levels of a factor (within subjects design).

2) Two common reasons for observing two factors in a single study are

( i) the hypothesis requires the observation of two factors

(ii) to control or account for threats to validity.