Exam 21: Some Almost Assumption-Free Tests

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The sum of a set of ranks can be found from the formula:

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Dr. Smith wishes to compare three widely used sleeping pills with regard to possible "hangover" effects. Twelve volunteers are given a problem-solving test at 9:00 a.m. after having been administered the standard recommended dose of one of the preparations (according to random assignment) the night before. The results are given below. Dr. Smith wishes to compare three widely used sleeping pills with regard to possible hangover effects. Twelve volunteers are given a problem-solving test at 9:00 a.m. after having been administered the standard recommended dose of one of the preparations (according to random assignment) the night before. The results are given below.

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The most important reason for using assumption-freer statistical tests has to do with

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Which, if any, of the first three statements is false?

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If the following scores: 4, 2, 3, 6, 4, are placed in rank order, a score of 4 would be assigned a rank order of

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Compared to z, t, and F, assumption-freer statistical tests become increasingly attractive when

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Which of the following loses most in efficiency relative to its counterpart test about means?

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The measure that seems most reasonable to examine upon obtaining significant results from a Mann-Whitney U test is the

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A randomization test compares the obtained sample results with

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The Mann-Whitney, Kruskal-Wallis, sign, and Wilcoxon signed-ranks tests are tests about

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Tests and measures involving rank order generally

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The Wilcoxon signed-ranks test is a particularly dubious choice if

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Kruskal-Wallis test:Mann-Whitney U test as

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Your casual observations suggest that sons, upon maturity, are in general taller than their fathers. A friend, on the other hand, argues that the opposite is true. In order to check this out, you measure the heights of a sample of nine father-son pairs. The following are the results (to the nearest inch): Your casual observations suggest that sons, upon maturity, are in general taller than their fathers. A friend, on the other hand, argues that the opposite is true. In order to check this out, you measure the heights of a sample of nine father-son pairs. The following are the results (to the nearest inch):

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The basic data from which all other computations flow when performing a Mann-Whitney U test or a Kruskal-Wallis test are

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A Mann-Whitney U test is performed and significant results are obtained. This indicates a population difference with regard to

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The relative insensitivity of the sign test is derived in part from the fact that

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We wish to determine if two strains of laboratory rats differ in maze-running ability. Random samples of naive (never been experimented on) rats are selected from each strain, and each rat is run through a test maze until it can negotiate the maze with no errors on two consecutive trials. The following results are obtained (number of trials to learn): We wish to determine if two strains of laboratory rats differ in maze-running ability. Random samples of naive (never been experimented on) rats are selected from each strain, and each rat is run through a test maze until it can negotiate the maze with no errors on two consecutive trials. The following results are obtained (number of trials to learn):    Apply the Mann-Whitney test. Use       Interpret the outcome using appropriate descriptive statistics. Apply the Mann-Whitney test. Use We wish to determine if two strains of laboratory rats differ in maze-running ability. Random samples of naive (never been experimented on) rats are selected from each strain, and each rat is run through a test maze until it can negotiate the maze with no errors on two consecutive trials. The following results are obtained (number of trials to learn):    Apply the Mann-Whitney test. Use       Interpret the outcome using appropriate descriptive statistics. Interpret the outcome using appropriate descriptive statistics.

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The sign test could be considered as an alternative approach to the test of a hypothesis about

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