Exam 17: Nonparametric Statistics

A production run of 500 items resulted in 29 defectives items.A defective item is coded as 1 and a good item as 0.The following is an output from Minitab. Runs Test: Defects Runs test for Defects Runs above and below K = 0.058 The observed number of runs = 57 The expected number of runs = 55.636 29 observations above K,471 below P-value = 0.574 The null hypothesis for a one-sample runs test is __________________.

The Spearman correlation coefficient is calculated for a set of data on two variables,x and y.It appears that as the rank of x increases,the rank of y is decreasing.We would expect the Spearman correlation coefficient to be ________.

A local pediatrician office is interested in the 'no-show' appointment count for each of the 4 pediatricians.'No-show' appointments represent lost revenues because the physician will be Idle when patients do not show for their scheduled appointments.Using the data in the table Below and an alpha of .10,what is the observed value of χ²?

The methods of parametric statistics can be applied to nominal or ordinal data.

The Kruskal-Wallis test is to be used to determine whether there is a significant difference in the satisfaction rating (alpha = 0.05)between three brands of boxed cake mix.Shoppers were asked to rate their satisfaction on various attributes and an aggregate satisfaction score ranging from 1-50 was computed.The following data were obtained: For this situation,the critical (table)chi-square value is _______.

Charles Clayton monitors the daily performance of his investment portfolio by recording a "+" or a "-"sign to indicate whether the portfolio's value increased or decreased from the previous day.His record for the last eighteen business days is "- + + - - - + - - + + + + + + + + -".The number of runs in this sample is _________.

Suppose a research uses the Mann-Whitney test to determine if there is a difference in the volume of text messages sent by a high school student living in a rural area versus an urban area during the month of December.Eight rural high school students and 9 urban high school students were included in the study.If,among all 17,the U statistic is 29,n₁=8 and n₂ = 9 what is the the conclusion at α=0.05 is __________

When only ordinal-level data are available,Spearman's rank correlation rather than the Pearson product-moment correlation coefficient must be used to analyze the association between two variables.

A Mann-Whitney U test was performed to determine if there were differences in the average compute time for Dallas residents versus Atlanta residents.The travel time for 22 commuters in Dallas was compared to the travel time for 28 commuters in Atlanta.The U statistic was calculated to be 58.0 based on the sample sizes of 22 and 28.What is the z value for this test?

Statistical techniques based on assumptions about the population from which the sample data are selected are called parametric statistics.

The nonparametric alternative to analysis of variance for a randomized block design is the _______.

What is the Spearman rank correlation coefficient for the following set of data?

Nonparametric statistics are sometimes called _______________.

The appropriate test for comparing the medians of two populations using ordinal-level data from two related samples is the Wilcoxon test.

Correlation coefficients may be computed for parametric and nonparametric data.If the data are nonparametric,which of the following should be used?

Spearman rank correlation values,r_x,range between +1 and 0.

The Wilcoxon test was used on 18 pairs of data.The total of the ranks (T)were computed to be 111 (for + ranks)and 60 (for - ranks).The z value for this test is ____.

Two stock analysts rank five investment portfolios for overall performance and risk. The Spearman rank correlation coefficient is ___________.

The Mann-Whitney U test is a generalization of the two sample t-test under the underlying assumptions of equality of variances.

The Kruskal-Wallis test is an extension of the HYPERLINK "http://en.wikipedia.org/wiki/Mann%E2%80%93Whitney_U" \o "Mann-Whitney U" Mann-Whitney U test to 3 or more groups.