 14.14.1: Historically, the proportions of all Caucasians in the United State...
 14.14.2: Previous enrollment records at a large university indicate that of ...
 14.14.3: A city expressway with four lanes in each direction was studied to ...
 14.14.4: Do you hate Mondays? Researchers in Germany have provided another r...
 14.14.5: After inspecting the data in Exercise 14.4, you might wish to test ...
 14.14.6: Suppose that the assumptions associated with a multinomial experime...
 14.14.7: Refer to Exercise 14.3. Lane 1 is the slow land and lane 4 is the f...
 14.14.8: The Mendelian theory states that the number of a type of peas that ...
 14.14.9: Refer to Exercise 14.6(f) and to the data in Exercise 14.8. a Give ...
 14.14.11: The data in the following table are the frequency counts for 400 ob...
 14.14.13: On the 40th anniversary of President John F. Kennedys assassination...
 14.14.14: A study was conducted by Joseph Jacobson and Diane Wille to determi...
 14.14.15: Suppose that the entries in a contingency table that appear in row ...
 14.14.16: A survey to explore the relationship between voters churchattendan...
 14.14.17: In the academic world, students and their faculty supervisors often...
 14.14.18: A study of the amount of violence viewed on television as it relate...
 14.14.19: The results of a study8 suggest that the initial electrocardiogram ...
 14.14.21: An interesting and practical use of the 2 test comes about in testi...
 14.14.22: A study to determine the effectiveness of a drug (serum) for the tr...
 14.14.23: The 2 test used in Exercise 14.22 is equivalent to the twotailed Z...
 14.14.24: How do Americans in the sandwich generation balance the demands of ...
 14.14.25: Does education really make a difference in how much money you will ...
 14.14.26: A manufacturer of buttons wished to determine whether the fraction ...
 14.14.28: Traditionally, U.S. labor unions have been content to leave the man...
 14.14.29: A survey was conducted to study the relationship between lung disea...
 14.14.31: A survey was conducted to investigate interest of middleaged adult...
 14.14.32: List the characteristics of a multinomial experiment.
 14.14.33: A survey was conducted to determine student, faculty, and administr...
 14.14.34: How would you rate yourself as a driver? According to a survey cond...
 14.14.35: Is the chance of getting a cold influenced by the number of social ...
 14.14.36: Knee injuries are a major problem for athletes in many contact spor...
 14.14.37: It is often not clear whether all properties of a binomial experime...
 14.14.38: Counts on the number of items per cluster (or colony or group) must...
 14.14.39: Refer to the r c contingency table of Section 14.4. Show that the M...
 14.14.41: According to the genetic model for the relationship between sex and...
 14.14.42: Suppose that (Y1, Y2,..., Yk ) has a multinomial distribution with ...
 14.14.43: In an experiment to evaluate an insecticide, the probability of ins...
Solutions for Chapter 14: Analysis of Categorical Data
Full solutions for Mathematical Statistics with Applications  7th Edition
ISBN: 9780495110811
Solutions for Chapter 14: Analysis of Categorical Data
Get Full SolutionsMathematical Statistics with Applications was written by and is associated to the ISBN: 9780495110811. This textbook survival guide was created for the textbook: Mathematical Statistics with Applications , edition: 7. Since 37 problems in chapter 14: Analysis of Categorical Data have been answered, more than 164474 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 14: Analysis of Categorical Data includes 37 full stepbystep solutions.

Arithmetic mean
The arithmetic mean of a set of numbers x1 , x2 ,…, xn is their sum divided by the number of observations, or ( / )1 1 n xi t n ? = . The arithmetic mean is usually denoted by x , and is often called the average

Assignable cause
The portion of the variability in a set of observations that can be traced to speciic causes, such as operators, materials, or equipment. Also called a special cause.

Asymptotic relative eficiency (ARE)
Used to compare hypothesis tests. The ARE of one test relative to another is the limiting ratio of the sample sizes necessary to obtain identical error probabilities for the two procedures.

Bayes’ estimator
An estimator for a parameter obtained from a Bayesian method that uses a prior distribution for the parameter along with the conditional distribution of the data given the parameter to obtain the posterior distribution of the parameter. The estimator is obtained from the posterior distribution.

Bimodal distribution.
A distribution with two modes

Block
In experimental design, a group of experimental units or material that is relatively homogeneous. The purpose of dividing experimental units into blocks is to produce an experimental design wherein variability within blocks is smaller than variability between blocks. This allows the factors of interest to be compared in an environment that has less variability than in an unblocked experiment.

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).

Chance cause
The portion of the variability in a set of observations that is due to only random forces and which cannot be traced to speciic sources, such as operators, materials, or equipment. Also called a common cause.

Coeficient of determination
See R 2 .

Comparative experiment
An experiment in which the treatments (experimental conditions) that are to be studied are included in the experiment. The data from the experiment are used to evaluate the treatments.

Continuous uniform random variable
A continuous random variable with range of a inite interval and a constant probability density function.

Counting techniques
Formulas used to determine the number of elements in sample spaces and events.

Decision interval
A parameter in a tabular CUSUM algorithm that is determined from a tradeoff between false alarms and the detection of assignable causes.

Defect concentration diagram
A quality tool that graphically shows the location of defects on a part or in a process.

Defectsperunit control chart
See U chart

Designed experiment
An experiment in which the tests are planned in advance and the plans usually incorporate statistical models. See Experiment

Error sum of squares
In analysis of variance, this is the portion of total variability that is due to the random component in the data. It is usually based on replication of observations at certain treatment combinations in the experiment. It is sometimes called the residual sum of squares, although this is really a better term to use only when the sum of squares is based on the remnants of a modelitting process and not on replication.

Estimate (or point estimate)
The numerical value of a point estimator.

Extra sum of squares method
A method used in regression analysis to conduct a hypothesis test for the additional contribution of one or more variables to a model.

Frequency distribution
An arrangement of the frequencies of observations in a sample or population according to the values that the observations take on