Exam 19: Nonparametric Statistics

Consider the following data set: 14,14,15,16,18,19,19,20,21,22,23,25,25,25,25,and 28.The rank assigned to the four observations of value 25 is:

Assessments of TV Shows Because of the cost of producing television shows and the profits associated with successful shows,television network executives are keenly interested in public opinion.A network has recently developed three comedy series.The pilot of each series is shown in to 10 randomly selected people who evaluate each show on a 9-point scale where 1 = terrible and 9 = excellent.The results are shown below. ​ ​ -{Assessments of TV Shows Narrative} Can we infer at the 5% significance level that differences exist among the show's evaluations?

The sign test statistic has what kind of distribution?

We can use the Friedman test to determine whether a difference exists between two populations.However,if we want to determine whether one population location is larger than another,we must use the sign test.

The Friedman test statistic is approximately chi-squared distributed with (k− 1)degrees of freedom,provided that either the number of blocks b or the number of treatments k is greater than or equal to 5.

When n > 30,r_s has an approximate normal distribution even though the data does not.

Customers' Ages The marketing manager of a Hot Dog Stand chain is in the process of examining some of the demographic characteristics of her customers.In particular,she would like to investigate the belief that the ages of the customers of hot dogs,fast-food hamburger,and fast-food chicken restaurants are different.To test this belief,the ages of eight randomly selected customers from each restaurant type were recorded and listed below.From previous analysis we know that the ages are not normally distributed. ​ ​ -{Customers' Ages Narrative} Explain how to use the p-value for testing the hypotheses?

The sign test is always to be preferred to the t-test.

Frozen TV Dinner The general manager of a frozen TV dinner maker must decide which one of four new dinners to introduce to the market.He decides to perform an experiment to help make a decision.Each dinner is sampled by ten people who then rate the product on a 7-point scale,where 1 = poor,and 7 = excellent.The results are shown below. ​ ​ -{Frozen TV Dinner Narrative} Using the appropriate statistical table,what statement can be made about the p-value for this test?

In the Wilcoxon rank sum test statistic,let T represent the total rankings of sample 1 amongst all rankings.If T is small,this suggests that the location of population 1 is to the ____________________ of the location of population 2.

The ____________________ correlation coefficient is used to look for a linear relationship between x and y when both variables are interval and have normal distributions.

Suppose there is interest in comparing the locations of response times for three independent groups learning new specific task.The appropriate nonparametric procedure is the:

Instead of testing whether population means differ,a nonparametric technique would test whether the population ____________________ differ.

A one-sample t-test is the parametric counterpart of the Kruskal-Wallis test.

The Spearman correlation coefficient is calculated using the ranks of the data,rather than the values of the data themselves.