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# Analysis of Variance

### Analysis of Variance (ANOVA)

WidgeCorp became the market leader in snack foods after acquiring a rival company, Company W. Their management style and business decision-making differed. Employees at WidgeCorp collected relevant data and through statistical analysis used this information to draw conclusions and make appropriate recommendations. Company W tend

### Anova Single Factor Experiment

The data is enclosed in the attachment. Johnson's Service Center has devised three potential options available to preferred customers who redeem coupons and buy at least 15 gallons of fuel when they stop in. Option A is a flat 3 cents off each gallon. Option B is a combination of 2 cents off plus another \$1 discount on the re

### Statistics Questions

1. Increasing the number of scores in a sample from n = 10 to n = 20 will increase the width of a confidence interval to estimate the population mean. (Assume all other factors are held constant.) True False 2. An educational psychologist gives a group of third-grade students a reading test at the begi

### SAS Analysis of Variance

I've pasted my SAS data below. If you need to use Stata or a similar program that is OK (but I would prefer SAS) 1. Write a model for this experiment 2. Conduct an analysis of variance 3. Compute the relative efficiency of the Latin square design relative to a completely randomized design. Interpret this value. Were the b

### ANOVA Testing

I have four categories, for instance, age, sex, zone and weight. I am asked if the average weight of the population differs among the four zones, and the sexes. I performed a one way anova test for weight and zones then another for weight and sex. Is this correct? I then performed a one way anova test of the zones versus age

### ANVOA Test and Explanation of work

The organization would like to determine if three of their territories are in fact meeting average profit margin expectations of 35% or if there is a variance depending on market region. Perform an ANOVA on the data presented in the attachment. 1) Please provide explanations during the steps 2) Show corresponding work

### ANOVA for Total Knee Replacement Data

See the attached files. Enter the attached data given to you into an Excel spreadsheet, calculate the requested statistics, and answer the following questions. Data from Total Knee Replacement (TKR) patients was collected from 3 different clinics. The data that is given to you includes: Subject number, age, clinic and range

### Experimental Design & Analysis of Variance

Using the ANOVA table: Source: D.F.: Sum of Squares: model 3 213.88125 error 20 11.208333 total 23 225.0895 What is the treatment mean square? What is the mean square error? How

### Statistics/ Two-Way ANOVA Exercise

An experiment is conducted to study the effects of two sales approaches - high-pressure (H) and low-pressure (L) - and to study the effects of two sales pitches (1 and 2) on the weekly sales of a product. The data (Results of the Sales Approach Experiment) in the attached table are obtained by using a completely randomized desig

### Statistics/ One-Way ANOVA problem.

A consumer preference study involving three bottle designs (A, B, and C) for the jumbo size of a new laundry detergent was carried out using randomized block experimental design, with supermarkets as blocks. Specifically, four supermarkets were supplied with all three bottle designs, which were priced the same. The attached tabl

### Does the type of problem being solved affect the solve time?

Engineering Statistics 2.5 3.1 5.1 7.5 2.8 3.8 5.3 8.1 2 3 4.9 7.6 2.7 3.4 5.5 7.8 2.5 3.3 5.4 6.9 2.4 3.6 4.8

### Significant difference in durability

Carpet 1 Carpet 2 Carpet 3 Carpet 4 18.95 10.06 10.92 9.3 12.62 7.19 13.28 21.2 11.94 7.03 14.52 16.11 14.42 14.66 12.51 21.41 Is there a significant difference in the durability of the 4 different types of carpet?

### ANOVA

Given the following sample information, test the hypothesis that the treatment means are equal at the .05 significance level. Treatment 1 Treatment 2 Treatment 3 8 3 3 11

### ANOVA

The manager of a computer software company wishes to study the number of hours senior executives spend at their desktop computers by type of industry. The manager selected a sample of five executives from each of three industries. At the .05 significance level, can she conclude there is a difference in the mean number of hours s

### Anova for a Call Center

Response Time Type of Call 25.22 Fee Refund 25.01 Fee Refund 25.1 Fee Refund 24.89 Fee Refund Question 25.23 Missing Deposit Does the type of call affect the response time of the call center? 24.97 Missing Deposit Is it statistically significant? 25.07 Missing Deposit 24.81 Missing Deposit 25.18 Copy of a

### Determine the least squares trend equation. Estimate the amount of scrap for the year 2005

The following table lists the annual amounts of glass cullet produced by Kimble Glass Works, Inc. Scrap Year Code Scrap (tons) 1999 1 2.0 2000 2 4.0 2001 3 3.0 2002

### Chi Square test and ANOVA..

In a class of 100 students, the grades by gender are shown below: A B C D F Row Total Men 7 14 28 14 7 70 Women 8 6 7 6 3 30 Column Total 15 20 35 20 10 100 Can you conclude at a 95% confidence that the grade is independent of gender? An experiment was conducted to compare the effectiveness of three

### Statistics: Analyzing Literary Data

The literary styles of different authors can vary widely. In particular, one factor that may differ is the word length of sentences. Here are two (fiction) novels of reasonable length, written in English and by two different authors. Novel 1: Memoirs of a Geisha by Arthur Golden. Novel 2: The Pact by Jodi Picoult. To get

### ANOVA SUV is marketed in three major metropolitan areas

A new model of SUV is marketed in three major metropolitan areas. The number of vehicles sold every month at each of three store chains is listed below. Chicago Houston Miami 307 324 110 500 442 193 690 270 138 448 199 244 At 0.05 level of significance, is there a difference in

### ANOVA & Students t Test for traffic and stress data. Null Hypothesis, Alternative Hypothesis, Significance Level, Critical Value, P value.

29. Samples were selected from three populations. The data obtained follow. Sample 1 Sample 2 Sample 3 93 77 88 98 87

### What type of test would you use to obtain the answer to your research question? Why?

The researcher wants to determine whether there is a relation between the type of residence owned and the level of the family income. He randomly sampled 100 homeowners and obtained the following data: Income Level Condo Townhouse Single Family Home up to 30K 15 9 3 30K-60K 9 7 7 60K-100 K

### ANOVA Test Comparison

Here is the problem and I need help I am in a group and no one is helping me. I have talked to the teacher and now i have to do it by myself and turn in the assignment. I have struggling bad in this class. PLEASE HELP ME. In this regard, remember the goal will be to work through an ANOVA test to compare the means of three o

### Two Factor ANOVA

You are the engineer for a paint process. You'd like to improve the quality of the process. You have selected your response variable, which is ppm of dust. You have sixteen measurements that you take, you have 3 variables [resist thickness, develop time, and exposure]. You have two levels of each of the variables [say, level

### Critical Range for Tukey-Kramer

Critical Range for Tukey-Kramer. See attached file for full problem description. Answer The null hypothesis tested is H0: There is no significant difference in the population mean of downhill coasting speed of 4 brands of bi cycles Here one way ANOVA can be used as there is only one categorical variable b). ANOVA

### Statistical Problem Assistance: Difference in the Mean

Professor Brunner had students in his Marketing class rate his performance as Excellent, Good, Fair, or Poor. A graduate student collected the ratings and assured the students that Professor Brunner would not receive them until after the course grades had been submitted. The rating (the treatment) a student gave the professor wa

### Calculation of homogeneity of variance, Levene Test in SPSS.

1. Using SPSS, check the following data for homogeneity of variance: Group 1 Group 2 Group 3 1 1 1 2 4 8 3 9 18 4 16 32 a Using an alpha of .05, what can you conclude about homogeneity of variance from the output? Word process your responses on the SPSS output pages.

### Earth Engineering ANOVA Testing

Earth Engineering is an environmental engineering consulting firm with more than 50 offices nationwide. Within the state of Texas, there are 5 offices; however, the focus of this problem resides with the office located in Austin. The Austin office currently houses 54 employees; however, the original office space of 10,000 square

### ANOVA

Scenario: Surging Fuel Prices Situation: ABC Trucking Company purchased 15 trucks at the same time to start their business. 5 Trucks were purchased from Peterbilt, 5 from Freightliner, and 5 from Kenworth. All the trucks are used for long distance hauling. The cost of fuel for the first year is shown. Is there a significant

### Difference in Mean Shop Hours Across Departments

Please help with the following statistics-related problem. Please provide the solution in Excel. The president of a new car dealership professional association wishes to study the number of hours department heads spend on the floor of their shops weekly by department. The manager selected a sample of five department heads fr

### Questions on ANOVA

1. What is the Null Hypothesis in the ANOVA test? The Alternate Hypothesis? Discuss. 2. What is the difference between a One-Way ANOVA and a Two-Way ANOVA? When do you use each?