- 11-1.1: Are the variables quantitative or qualitative?
- 11-1.2: What type of test can be used to compare the observed values to the...
- 11-1.3: Perform a chi-square test on the total values.
- 11-1.4: What hypotheses did you use?
- 11-1.5: What were the degrees of freedom for the test? What is the critical...
- 11-1.6: What is your conclusion?
- 11-1.1: How does the goodness-of-fit test differ from the chi-square varian...
- 11-1.2: How are the degrees of freedom computed for the goodness-of-fit test?
- 11-1.3: How are the expected values computed for the goodness-of-fit test?
- 11-1.4: When the expected frequencies are less than 5 for a specific class,...
- 11-1.5: Home-Schooled Student Activities Students who are home-schooled oft...
- 11-1.6: Combatting Midday Drowsiness A researcher wishes to see if the five...
- 11-1.7: In a recent study, the following percentages of U.S. retail car sal...
- 11-1.8: On-Time Performance by Airlines According to the Bureau of Transpor...
- 11-1.9: Genetically Modified Food An ABC News poll asked adults whether the...
- 11-1.10: Blood Types Human blood is grouped into four types: A, B, AB, and O...
- 11-1.11: Credit Union Loans USA TODAY reported that 21% of loans granted by ...
- 11-1.12: Ages of Head Start Program Students The Head Start Program provides...
- 11-1.13: Payment Preference A USA TODAY Snapshot states that 53% of adult sh...
- 11-1.14: Federal Prison Populations The population distribution of federal p...
- 11-1.15: Internet Users A survey was targeted at determining if educational ...
- 11-1.16: Education Level and Health Insurance A researcher wishes to see if ...
- 11-1.17: Paying for Prescriptions A medical researcher wishes to determine i...
- 11-1.18: Tossing Coins Three coins are tossed 72 times, and the number of he...
- 11-1.19: State Lottery Numbers Select a three-digit state lottery number ove...
Solutions for Chapter 11-1: Other Chi-Square Tests
Full solutions for Elementary Statistics: A Step by Step Approach | 7th Edition
Adjusted R 2
A variation of the R 2 statistic that compensates for the number of parameters in a regression model. Essentially, the adjustment is a penalty for increasing the number of parameters in the model. Alias. In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.
A method of variable selection in regression that begins with all of the candidate regressor variables in the model and eliminates the insigniicant regressors one at a time until only signiicant regressors remain
An equation for a conditional probability such as PA B ( | ) in terms of the reverse conditional probability PB A ( | ).
The joint probability distribution of two random variables.
Box plot (or box and whisker plot)
A graphical display of data in which the box contains the middle 50% of the data (the interquartile range) with the median dividing it, and the whiskers extend to the smallest and largest values (or some deined lower and upper limits).
A horizontal line on a control chart at the value that estimates the mean of the statistic plotted on the chart. See Control chart.
Any test of signiicance based on the chi-square distribution. The most common chi-square tests are (1) testing hypotheses about the variance or standard deviation of a normal distribution and (2) testing goodness of it of a theoretical distribution to sample data
Components of variance
The individual components of the total variance that are attributable to speciic sources. This usually refers to the individual variance components arising from a random or mixed model analysis of variance.
A linear function of treatment means with coeficients that total zero. A contrast is a summary of treatment means that is of interest in an experiment.
A method to derive the probability density function of the sum of two independent random variables from an integral (or sum) of probability density (or mass) functions.
A square matrix that contains the correlations among a set of random variables, say, XX X 1 2 k , ,…, . The main diagonal elements of the matrix are unity and the off-diagonal elements rij are the correlations between Xi and Xj .
Another name for factors that are arranged in a factorial experiment.
A study in which a sample from a population is used to make inference to the population. See Analytic study
Error of estimation
The difference between an estimated value and the true value.
The distribution of the random variable deined as the ratio of two independent chi-square random variables, each divided by its number of degrees of freedom.
Any test of signiicance involving the F distribution. The most common F-tests are (1) testing hypotheses about the variances or standard deviations of two independent normal distributions, (2) testing hypotheses about treatment means or variance components in the analysis of variance, and (3) testing signiicance of regression or tests on subsets of parameters in a regression model.
A model that contains only irstorder terms. For example, the irst-order response surface model in two variables is y xx = + ?? ? ? 0 11 2 2 + + . A irst-order model is also called a main effects model
A method of variable selection in regression, where variables are inserted one at a time into the model until no other variables that contribute signiicantly to the model can be found.
Fractional factorial experiment
A type of factorial experiment in which not all possible treatment combinations are run. This is usually done to reduce the size of an experiment with several factors.
A function used in the probability density function of a gamma random variable that can be considered to extend factorials