Question

Dr. B. is studying the effect of feedback on the perceived ability to complete a task. She randomly selects 30 NSC students to participate in her study. She randomly selects a third of the sample to participate in the “commend hard work” group, another third of the sample to participate in the “commend intelligence” group, and the remaining third of the sample to participate in the “no feedback” group. She meets with each participant individually and gives them a series of increasingly difficult algebra problems to work out. After completion of the easier problems (the first few), the participants in the “commend hard work” group are told that their hard work is admirable and that such tenacity will help them complete the more difficult algebra problems. After completion of the easier problems (the first few), the participants in the “commend intelligence” group are told that their intelligence is admirable and that such high levels of intelligence will help them complete the more difficult algebra problems. Participants in the “no feedback” group complete the problems while Dr. B. remains silent. She measures the number of difficult problems correct for each group and wants to see if there is a significant difference. Which type of statistical test could Dr. B. use to analyze the data resulting from this study?

Group of answer choices

only a t-test for independent samples only a two factor ANOVA both a t-test for independent samples or a one-way ANOVA only a one-way ANOVA

Answer 1

Solution :

When we have more than two groups, and we want to test whether, there is any significant difference between the mean phenomena of these groups, then we use one-way anova.

For the given scenario we have only one factor named as feedback and this factor is classified in three groups. So, we have three groups and we want to test, whether there is any significant difference in the number of correct answers for difficult problems given by these three groups. It means we want to test that whether there is any significant difference in mean number of correct answers given by these groups.

Therefore, Dr. B. should use only a one-way Anova to analyze the data resulting from the study.

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