Exam 11: Power

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You are considering testing a new drug that is supposed to facilitate learning in mentally retarded children. Based on preliminary research, you have some idea about the size of the drug's effect. Because of your work schedule you can either do the test with 15 subjects or with 20. You would like to only run 15 subjects, but if running 20 will make power at least 20% higher, you will run 20 subjects. Calculate power for the following conditions: You are considering testing a new drug that is supposed to facilitate learning in mentally retarded children. Based on preliminary research, you have some idea about the size of the drug's effect. Because of your work schedule you can either do the test with 15 subjects or with 20. You would like to only run 15 subjects, but if running 20 will make power at least 20% higher, you will run 20 subjects. Calculate power for the following conditions:

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If the power of an experiment is 0.7496, the probability of making a Type II error is _________.

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The advantage of a powerful experiment is that _________.

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If N = 4, P real = 0.80 in the direction predicted, and a = 0.051 tail, using the sign test, the power is _________.

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If H 0 is true and the probability of making a Type I error is 0.05, then the probability of making a correct decision is _________.

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"State of Reality" means _________.

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An experiment with N = 18 is more powerful than an experiment with N = 17, all other things being the same.

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Ajax Pest Control Company has bred a new strain of pest-eating insects for the garden. In several test gardens the number of pests before and after introduction of their new insect has been recorded. The following data were obtained: Ajax Pest Control Company has bred a new strain of pest-eating insects for the garden. In several test gardens the number of pests before and after introduction of their new insect has been recorded. The following data were obtained:    Ajax Pest Control Company has bred a new strain of pest-eating insects for the garden. In several test gardens the number of pests before and after introduction of their new insect has been recorded. The following data were obtained:

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Power is the probability of rejecting H 0 if it is false.

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If H 0 is false, as the power of the experiment increases, the probability of rejecting H 0 increases.

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With alpha and N held constant, as the effect of the independent variable increases _________.

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If H 0 is false, the probability of making a correct decision is _________.

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Define P real.

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Which of the following may be false ?

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Power = 1 ?2- b

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H 0 states that the independent variable has no effect. H 1 is nondirectional.

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In general, the sum of alpha and beta should equal 1.

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P null _________.

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If H 1 is nondirectional and the size of the effect of the independent variable decreases, the probability of making a Type I error _________.

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Is it correct to conclude by "accepting" H 0 when the results of an experiment are not significant? Explain.

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