Exam 15: More Nonparametric Tests

What is the rank of 4 in the following distribution? 1, 2, 2, 3, 3, 4, 4, 5, 5

What rank does a score of 5 receive? Scores: (score of 1 ranks 1) 1, 2, 3, 4, 4, 4, 4, 5, 5

For large samples, the sampling distribution for the Mann-Whitney U test and the Wilcoxon matched-pairs signed-ranks T test is the normal curve.

Students in a 1 P.M. laboratory section in general psychology observed eight people they did not know and made a judgment about their IQ. Half the eight wore glasses; half did not. The 3 P.M. laboratory section judged the same eight persons, but those who wore glasses at 1 P.M. did not wear them at 3 P.M. and vice versa. The result was that each of the eight was given an estimated IQ both with and without glasses. What is the question this experiment is designed to answer? What is the answer to the question? Without Glasses With Glasses 121 127 97 104 114 110 131 139 118 120 91 86 127 140 114 125

For large samples, the sampling distribution for the Mann-Whitney U test and the Wilcoxon matched-pairs signed-ranks T test is the F distribution.

The null hypothesis in nonparametric tests is that the populations being sampled from have identical distributions.

Given the scores: 7, 7, 8, 8, 8, 9, a score of 8 is given the rank

In the Wilcoxon matched-pairs signed-ranks T test

To test for a significant difference between related samples, use a

Farmer Brown, who also serves as the community's Shakespearean Quantitative Critic, delivered a plea at the county fair, asking farmers from the county's three groups to lend him unshelled corn. (You might be able to figure out how he would phrase his pleas.) The number of bushels offered by the farmers is shown below. What can you conclude about the three groups? Friends Romans Countrymen 25 14 8 31 18 15 17 10 11 22 16 7 27 9 13 29 10 12

require that the variances be equal for the dependent variable scores of the populations in question.

Mann-Whitney U is to Wilcoxon matched-pairs signed-ranks T asis to

If the populations that are being tested are normally distributed and have equal variances,

A Spearman r_s value of 1.96 is not possible.

When sample size is large, a U from a Mann-Whitney U test is evaluated using

Suppose you obtained a Spearman r_s of .52 between tennis ability and racquetball ability for a class of 14 college students. For a two-tailed test, you may conclude that tennis ability and racquetball ability are

Suppose you find one instance of two tied ranks while you are calculating a Spearman r_s. You should

Suppose you found, for the 26 people in your wing of the dorm, a Spearman r_s of .38 between the number of breakfasts eaten during the term and grade point average. For a two-tailed test, you may conclude that there is

What rank does a score of 3 receive? Scores: (score of 1 ranks 1) 1, 1, 2, 2, 3, 3, 3

The nonparametric tests in the text are based on sampling distributions of