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Statistics
In an analysis of daily soil evaporation (EVAP), Freund (1979) identified the following predictor variables:MAXAT = Maximum daily air temperatureMINAT = Minimum daily air temperatureAVAT = Integrated
The raw data for Problem 22, from Freund (1979), appear below. For the model of Problem 22,a. Fit the model.b. What discrepancies do you note between the results of (a) and the data summary presented
Radial keratotomy is a type of refractive surgery in which radial incisions are made in the cornea of myopic (nearsighted) patients in an effort to reduce their myopia. Theoretically, the incisions
In 1990, Business Week magazine compiled financial data on the 1,000 companies that had the biggest impact on the U.S. economy. Data from this compilation were presented in Problem 13 of Chapter 8.
In Problem 19 of Chapter 5, data from the 1990 Census were shown for 26 randomly selected Metropolitan Statistical Areas (MSAs). Of interest are factors potentially associated with the rate of owner
a.-c. Repeat parts (a) through (c) of Problem 1 using the data of Problems 3 through 14 of Chapter 5.
In an environmental engineering study of a certain chemical reaction, the concentrations of 18 separately prepared solutions were recorded at different times (three measurements at each of six
a.-e. Repeat Problem 8, parts (a) through (e), but use orthogonal polynomials.f. Compare the results obtained here to those obtained in Problems 8 and 9.Problem 8This problem uses the data presented
This problem uses the data from Problem 13 in Chapter 5. Use α = .10.a. Use a computer program to fit a quadratic natural polynomial model for predicting latency as a function of weight minus
This problem uses the data from Problem 15 in Chapter 5.a. Using a computer program, fit a cubic polynomial model with BLOODTOL as the response and PPM_TOLU as the predictor. Center PPM_TOLU. Provide
a. For the data from Problem 15 in Chapter 5, specify the orthogonal polynomial codings needed for coding PPM_TOLU linear, quadratic, and cubic terms. Repeat part (a) of Problem 12, but use the
To promote safe driving habits and to better protect its customers, an insurance company offers a discount of between 5% and 20% on renewal insurance premiums to customers who have completed a
Refer to Problem 14. Using the computer output for that problem, and the accompanying output here, answer the following questions.a. Determine the variance inflation factors for the estimated model
Columbus Airlines introduced a new, specially discounted line of air fares in 1995. Annual ticket revenues Y (in $ 1,000s) are shown in the following table, along with the time period X (in months,
With the addition of five pairs of observations€”(18,000, 39.2), (22,400, 27.9), (24,210, 22.3), (5,400, 11.7), and (9,340, 32.5)€”to the data in Problem 3 in Chapter 5, the accompanying
a.-g. For the data on DIST (Y) and MPH (X) in Problem 7 in Chapter 5, use the following information to answer the same questions as in parts (a) through (g) of Problem 2.Degree 1 fit: Ŷ = -122.345 +
For the data on VOTE (Y) and TVEXP (X) in Problem 5 in Chapter 5, it was found that the straight-line model was adequate. Using the accompanying computer output for quadratic regression, do the
For the regression of PCI (Y) on YNG (X) for the African countries considered in Problem 2 in Chapter 12, use the accompanying information to do the following:a. Plot the estimated straight-line and
For the data given in Problem 11 in Chapter 7, which concerns the relationship between the temperature (X) of a certain medium and the growth (Y) of human amniotic cells in a tissue culture,
The skin response in rats to different concentrations of a newly developed vaccine was measured in an experiment, resulting in the data, models, and computer output that follow.a. Plot the
This problem uses the data presented in the table for Problem 12 in Chapter 5. Use α = .05.a. Use a computer program to fit a natural polynomial cubic model for predicting vocabulary size as a
a.-e. Repeat Problem 8, parts (a) through (e), after centering the predictor (age).f. Compare the results obtained here to those obtained in Problem 8.Problem 8This problem uses the data presented in
Add the variables (HGT)2 and (AGE Ã HGT) to the data set for WGT, HGT, AGE, and (AGE)2 given in Section 16.3. Then, using an available regression program and the accompanying computer
In Problem 9, the first-order interactions between Z and the predictor variables X1, X3, and X4 were not included in the model selection process. Investigate whether this was appropriate, as follows
In 1990, Business Week magazine compiled financial data on the 1,000 companies that had the biggest impact on the U.S. economy. Data from a sample of the top 500 companies in Business Week's report
Radial keratotomy is a type of refractive surgery in which radial incisions are made in a myopic (nearsighted) patient's cornea to reduce the person's myopia. Theoretically, the incisions allow the
Using the data given in Problem 2 in Chapter 5 (with SBP as the dependent variable) and the accompanying computer output, find the best regression model, using α = .05 and the
For the same data set considered in Problem 2 (and employing the accompanying computer output), use the stepwise regression approach to find the best regression models of SBP on QUET, AGE, and QUET
For the data given in Problem 4 in Chapter 8 (plus the accompanying computer output), find (using α = .10) the best regression model relating homicide rate (Y) to population size (X1), percentage
The data set listed in the following table contains information on AGE, SEX (1 = male, 2 = female), work problems index (WP), marital conflict index (MC), and depression index (DEP) for a sample of
For the data in Problem 15 in Chapter 5, use LN_BRNTL as the response variable and LN_PPMTL, LN_BLDTL, AGE, and WEIGHT as predictors. (Use α = .05.)a. Indicate a plausible fixed order for testing
Consider the data of Bethel et al. (1985), discussed in Problem 19 in Chapter 14. Delete the three female subjects, leaving 16 observations. Use FEV1 as the response and AGE, WEIGHT, and HEIGHT as
Use the data from Freund (1979), presented in Problem 22 in Chapter 14. Taking the model discussed there as the maximum model, repeat parts (a) through (h) of Problem 6. In part (h), note the
A random sample of data was collected on residential sales in a large city. The accompanying table shows the selling price (Y, in $ 1,000s), area (X1, in hundreds of square feet), number of bedrooms
Five treatments for fever blisters, including a placebo, were randomly assigned to 30 patients. For each of the five treatments, the data in the accompanying table identify the number of days from
Three replicate water samples were taken at each of four locations in a river to determine whether the quantity of dissolved oxygen€”a measure of water pollution€” varied from one location to
Consider the data from Problem 15 in Chapter 5. The dependent variable of interest is LN_BPNTL. Use α = .05.a. Conduct a one-way ANOVA, with dosage level (PPM_TOLU) as a categorical predictor.b.
Repeat Problem 11, skipping part (e), but use LN_BLDTL as the dependent variable.Problem 11a. Conduct a one-way ANOVA, with dosage level (PPM_TOLU) as a categorical predictor.b. Using the Bonferroni
The accompanying source table relates to a study involving the effects of trimethylin doses of 0, 3, 6, and 9 mg/kg on a sample of 48 rats. Each rat received only one dose. The response variable was
For each of the following contrasts, indicate the null hypothesis that is being tested.
Persistent patent ductus arteriosus (PDA) is a medical condition that affects more than 40% of very low birth weight infants. Infants with PDA have an increased risk of ailments such as cerebral
In the PDA research described in Problem 15, one of the outcome variables was mean airway pressure (measured in cm H2O) seven days after birth€”a measure of respiratory status. The data on this
A survey was conducted to examine the effects of pharmaceutical drug advertising on physician practices. Self-administered questionnaires were delivered to randomly selected physicians in various
Customer portfolio analyses provide retailers with data on customer characteristics, including expenditure patterns. Based on this information, retailers can make marketing and operational
The data in the accompanying table were sampled from U.S. News & World Report's 1996 story on the "Best Mutual Funds." The following variables are shown for each fund:CAT (fund category):1 =
The following data are replicate measurements of the sulfur dioxide concentration in each of three cities:City I: 2, 1, 3City II: 4, 6, 8City III: 2, 5, 2a. Complete the ANOVA table in the
This problem refers to the data of Problem 19.a. Suppose that an ANOVA is to be performed to compare the average OPI values for funds with different volatilities. State precisely the ANOVA model. Is
Radial keratotomy is a type of refractive surgery in which radial incisions are made in a myopic (nearsighted) patient's cornea to reduce the person's myopia. Theoretically, the incisions allow the
Data on law and business schools were sampled from U.S. News & World Report's 1996 report on the "America's Best Graduate Schools 1996 Annual Guide." The school's reputation rank among academics
In September 1996, U.S. News & World Report published a report on America's health maintenance organizations (HMOs). The report was intended to serve as a consumer guide to HMO quality. For each
Each of three chemical laboratories performed four replicate determinations of the concentration of suspended particulate matter in a certain area using the "Hi-Vol" method of analysis. The resulting
Ten randomly selected mental institutions were examined to determine the effects of three different antipsychotic drugs on patients with the same types of symptoms. Each institution used one and only
Suppose that a random sample of five active members in each of four political parties in a certain western European country was given a questionnaire purported to measure (on a 100-point scale) the
A psychosociological questionnaire was administered to a random sample of 200 persons on an island in the South Pacific that has become increasingly westernized over the past 30 years. From the
To examine whether mathematics skills of the average high school graduate in urban areas of the United States have declined over the past 10 years, the average scores on the math section of the SAT
Three persons (denoted A, B, and C) claiming to have unusual psychic ability underwent ESP tests at an eastern U.S. psychic research institute. On each of five randomly selected days, each person was
The average generation times for four different strains of influenza virus were determined using six cultures for each strain. The data are summarized in the following table.a. Test whether the true
A private research corporation conducted an experiment to investigate the toxic effects of three chemicals (I, II, and III) used in the tire-manufacturing industry. In this experiment, three adjacent
An educator has obtained class average scores on a standardized test for classes from each grade from first through seventh at each of four schools in a city. These are shown in the following table.
A company evaluated three new production-line technologies, one involving high automation, the second involving moderate automation, and the third involving low automation. All three technologies
An advertising company evaluated three types of television ads for a new low-cost subcompact automobile: visual-appeal ads, budget-appeal ads, and feature-appeal ads. To control for age differences,
In a study of the psychosocial changes in individuals who participated in a community-based intervention program, individuals who were clinically identified as hypertensives were randomly assigned to
An experiment was conducted at the University of North Carolina to see whether the biochemical oxygen demand (BOD) test for water pollution is biased by the presence of copper. In this test, the
Using the accompanying computer output based on the data in Problem 7 in Chapter 17, conduct a randomized-blocks analysis, treating the high schools as blocks, to test whether significant differences
Using the accompanying computer output based on the data in Problem 8 in Chapter 17, conduct a randomized-blocks analysis, treating the days as blocks, to test whether the three persons have
The promotional policies of four companies in a certain industry were compared to determine whether their rates for promoting blacks and whites differed. Data on the variable "rate discrepancy" were
Suppose that, in a study to compare body sizes of three genotypes of fourth-instar silkworms, the mean lengths (in millimeters) for separately reared cocoons of heterozygous (HET), homozygous (HOM),
In Problem 3, the independent variable of interest, copper ion concentration, is an interval-scaled variable. a. Treating copper ion concentration as a five-level categorical predictor (as in the
Assume that the following table came from an analysis of a randomized-blocks study.a.-f. Complete the ANOVA table by determining the numerical values for the entries a through f. Show your work.g.
The data in the following table and accompanying computer output come from an animal experiment designed to investigate whether levorphanol reduces stress as reflected in the cortical sterone level.
Consider an ANOVA table of the following form.Use a = .05 for all parts of this problem. In each case, decide what effects (if any) are significant, and what conclusions to draw, based on a two-way
Assume that a total of 75 subjects were tested in a balanced two-way fixed-effects factorial experiment. A plot of the means from the study is shown next. The dependent variable is Y, and the factors
Assume that the following ANOVA table came from balanced two-way fixed-effects ANOVA. Show the formula used (with numbers filled in) and the numerical value of each letter in the table.Also, indicate
The data in the following table and accompanying computer output are from a hypothetical study of human body temperature as affected by air temperature and a dietary supplement that is hoped to
The experiment in Problem 11 in Chapter 18 was repeatedthis time using three workers per technology/experience combination rather than just one. For each cell the following table, the
An advertising company evaluated three types of television ads for a new, low-cost, subcompact automobile: visual-appeal ads, budget-appeal ads, and feature-appeal ads. To control for age
This question refers to the U.S. News & World Report mutual fund data presented in Problem 19 in Chapter 17. The variables described in that question were: CAT (fund category): 1 = Aggressive growth;
This question refers back to the U.S. News & World Report graduate school data presented in Problem 22 in Chapter 17. a. Suppose that a two-way ANOVA is to be performed, with 1995 starting salary as
The following table gives the performance competency scores for a random sample of family nurse practitioners (FNPs) with different specialties, from hospitals in three cities.a. Classify each factor
The following table gives the average patient waiting time in minutes for patients from a random sample of 16 physicians, classified by type of practice and type of physiciana. Classify each factor
A study was undertaken to measure and compare sexist attitudes of students at various types of colleges. Random samples of 10 undergraduate seniors of each sex were selected from each of three types
Random samples of 100 persons awaiting trial on felony charges were selected from rural, urban, and suburban court locations in each of two states, one (state 1) in the Northeast and the other (state
An experiment was conducted at a large state university to determine whether two different instructional methods for teaching a beginning statistics course would yield different levels of cognitive
The following table and accompanying computer output present data on the uric acid level found in the bloodstreams of persons with Down's syndrome and in the bloodstreams of nonDown's
An experiment was conducted to investigate the survival of diplococcus pneumonia bacteria in chick embryos under relative humidities (RH) of 0%, 25%, 50%, and 100% and under temperatures (Temp) of
The diameters (Y) of three species of pine trees were compared at each of four locations, using samples of five trees per species at each location. The resulting data are given in the following
Consider hypothetical data based on a study concerning the effects of rapid cultural change on blood pressure levels for native citizens of an island in Micronesia. Blood pressures were taken on a
The experimenters described in Problem 9 hoped that home cage would not affect activity level in any systematic fashion. Explore this question by repeating Problem 9, but replacing SEX with CAGE in
A manufacturer conducted a pricing experiment to explore the effects of price decreases on sales of one of its breakfast cereals. The two largest supermarket chains in a particular area participated
The manager of a market research company conducted an experiment to investigate the productivity of three employees on each of two computerized data-entry systems. The employees conducted phone
a. Suppose that a two-way ANOVA is to be performed, with five-year postoperative change in refractive error as the dependent variable (Y) and diameter of clear zone (CLRZONE) and baseline average
a. Suppose that a two-way ANOVA is to be performed, with 1995 starting salary as the dependent variable and with school type (SCHOOL) and reputation rank among academics (REP1 = 1 if reputation rank
A study was conducted to assess the combined effects of patient attitude and patient physician communication on patient satisfaction with medical care during pregnancy. A random sample of 110
The data listed in the table on the following page are from an unpublished study by Harbin and others (1985). Subjects were young (ages 18 through 29) or old (ages 60 through 86) men. Each subject
a.-d. Repeat Problem 3, using REACTIM2 as the dependent variable and referring to the accompanying computer output.In problem 3a. Observe the cross-tabulation of AGEGROUP and PPM_CO in the
A crime victimization study was undertaken in a medium-size southern city. The main purpose was to determine the effects of being a crime victim on confidence in law enforcement authority and in the
The effect of a new antidepressant drug on reducing the severity of depression was studied in manic-depressive patients at two state mental hospitals. In each hospital all such patients were randomly
A study was conducted by a television network in a certain state to evaluate the viewing characteristics of adult females. Each individual in a stratified random sample of 480 women was sent a
Suppose that the following data were obtained by an investigator studying the influence of estrogen injections on change in the pulse rate of adolescent chimpanzees:a. What are the factors in this
The data listed in the following table relate to a study by Reiter and others (1981) concerning the effects of injecting triethyl-tin (TET) into rats once at age 5 days. The animals were injected
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