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Analysis of Variance

Concepts of Variance and Sum of Squares

ANOVA Analysis of Variance (ANOVA) is used to test the equality of the means of three or more groups based on sample data. ANOVA is really a test of means even though it sounds like a test of variance. Building on the hypothesis testing techniques discussed on the first two weeks, ANOVA uses an F test (rather than a Z or t te

Descriptions of Statistical Terms

Describe, the following terms and give an example of each. a. Analysis of Variance b. One-way ANOVA c. Between-group variance d. Within-group variance e. Sum of squares between groups f. Sum of squares within groups g. Paired difference

Research proposal for length of stay in hospital.

Use the attached research proposal and create a presentation that provides the following information: a. Summary of research problem b. Summary of sampling or data collection techniques c. Summary of hypotheses tested for t-test and chi square analysis d. Graph of one of the research dependent variables e. A t-test and

Descriptions and Example Questions - Statistical Terms

Describe, in your own words, the following terms and give an example of each. a. Analysis of Variance b. One-way ANOVA c. Between-group variance d. Within-group variance e. Sum of squares between groups f. Sum of squares within groups g. Paired difference

The Completely Randomized Design

Problem 1: The Completely Randomized Design: One-Way analysis of Variance The following data represent the nationwide highest yield of different types of accounts: Money 6-Month 1-Year 2.5-Year 5-Year Market CD CD CD CD 4.55 4.75 4.94 4.95 5.05 4.50 4.70 4.90 4.91 5.05 4.40 4.69 4.85 4.85 5.02 4.38 4.65 4.85 4.82

Applying ANOVA to a data set

Refer to the Baseball data set, which reports information on the 30 Major League Baseball teams for the 2002 season. a.At the 0.10 significance level is there a difference in the variation in team salary among the American and National League teams? Explain b.Create a variable that classifies a team's total attendance into

ANOVA and Goodness of Fit Analysis

The data for the pitchers represent the top 50 pitchers in both leagues when selected on 5-6-2005. Perform the following analyses on the data, interpret your findings and summarize what each analysis means. 2. Goodness of Fit Analysis - Is there a diffe

Multiple choice questions from ANOVA.

The calculated value of F in a one-way analysis is 8.23. The numerator degrees of freedom and denominator degrees of freedom are 4 and 8, respectively. The most accurate statement to be made about the p-value is: A) p-value > 0.05 B) 0.05 > p-value > 0.025 C) p-value > 0.01 D) 0.01 > p-val

ANOVA

1. In testing whether the means of two normal populations are equal, summary statistics computed for two independent samples are as follows: Assume that the population variances are equal. Then, the Pooled Variance is equal to: A) 0.1017 B) 1.2713 C) 0.3189 D) 1.1250 2. Two samples

ANOVA for response time

4. The County Executive for Monroe County is concerned about the response time for the three fire companies in the county. Samples of the response times (in minutes) for each company follow. At the 0.05 significance level is there a difference in the mean response time? Youngsville Northeast Corry

Two or More Sample Hypothesis Testing

Is there is any difference in the ROI of different economic sectors? H0: There is no significant difference in the mean ROI of different economic sectors. H1: There is significant difference in the mean ROI of different economic sectors. The test statistic used is ANOVA (F test). Decision rule: Reject the null hypothesis w

One way anova for job stress

A study report in Journal of Small Business Management (1977) concluded that self-employed individuals experience higher job stress than individuals who are not self employed. In this study job stress was assessed with a 15-item scale designed to measure various aspects of ambiguity and role conflict. Rating for each of the 15 i

Variance Analysis problem for Zurich Chocolate Company

The Zurich Chocolate Company uses standard costs and a flexible budget to control its manufacture of fine chocolates. The purchasing agent is responsible for material price variances, and the production manager is responsible for all other variances. Operating data for the past week are summarized as follows: 1. Finishe

Comprehensive Variance Analysis with Incomplete Data; Journal Entries

FAR NORTH SPORTING, LTD. CHECK FIGURE (1a) Materials price variance: $12,400 F (3) Variable overhead spending variance: $4,080 F Far North Sporting, Ltd., manufactures a premium hockey stick. The standard cost of one hockey stick is: Std. Qty or Hrs Std. Price or Rate Std. Cost Dire

ANOVA, Mean Square for Error and Mean Square for Treatments

Emma's On-the-Go, a large convenience store that makes a good deal of money from magazine sales, has three possible locations in the store for its magazine rack: in the front of the store (to attract "impulse buying" by all customers), on the left-hand side of the store (to attract teenagers who are on that side of the store loo

ANOVA TEST in Megastat

Please see attachment and answer , Highlighted question. Location Number of transactions Group A Location 1 96 Group B Location 2 102 Group C Location 3 84 Group D Location 4 78 I conducted an ANOVA in the following tables. I was trying to test the best location for a bank to pilot a new type of ATM machines. I base

Respond to the following ANOVA questions

1) When do you use an analysis of variance (ANOVA)? 2) What is the within-groups population variance estimate based on? How and why is it affected by the null hypothesis being true or not? 3) What is the between-groups population variance estimate based on? How and why is it affected by the null hypothesis being true or no

Forecasting techniques for linear regression

Forecasting Techniques Deliverable Length: 1000-1500 words Details: There is debate within the production planning management team as to which forecasting technique to use. The team members want to test to see which method would be more accurate. They have assigned the new planning director to assess which of the three main f

ANOVA Table

Please see attachment. ANOVA: Hypothesis tests and the ANOVA table A manager at LLD Records is investigating the company's market research techniques. She learns that much of the market research of college students is done during promotions on college campuses. Other market research of college students, though, is done thro

ANOVA/F statistic

Please see attachment. ANOVA: Degrees of freedom and the F statistic Jointsoft is a great over-the-counter arthritis medication, but who will ever know about it? Unfortunately, many people with arthritis tend to be elderly and rather immobile, so advertisers of arthritis medications face limitations in ways to get their mes

ANOVA and Hartley's test Comparison

Comparison of c means in one-factor ANOVA is the same as using c repeated t-tests. True False Hartley's test measures the equality of the means for several groups. True False

SPSS - one sample, independent samples t-test, one way ANOVA

Having difficulty with this exercise. I need to do the following using the attached SPSS file. 1) One Sample t-test - Using "Length of Stay" as the test variable, conduct a hypothesis test on whether the average length of stay is 14 days. - What are the steps to running this in SPSS? (I need to have the output)

DISCUSSION BOARD

Deliverable Length: 4 paragraph Details: provide research on Job Satisfaction. Again, use the Business Source Premier Database and/or the ABI Inform Global database in the Library and write up a short 4 paragraph report on the topic. The article you choose should include the terms Job Satisfaction AND ANOVA, or Job Satisf

ANOVA for Fund Data

Could you please help me with the ANOVA testing for the three charts attached. I am having difficulty and would appreciate it if you could explain the process and results to me. Thank you. I appreciate your input.

Hypothesis Test ANOVA

In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles at 95% confidence level?

ANOVA: Workplace Application

Please discuss an application of ANOVA that might be undertaken in a workplace. What are the 3 or more treatments? What is the response variable? Could you please describe a scenario and state the hypotheses, the decision and the meaning of the decision. Provide a step-by-step explanation.

1) One particular morning, the length of time spent in the examination rooms is recorded for each patient seen by each physician at an orthopedic clinic. Does the data prove a significant difference in mean times? 2) Perform the chi-square test for a uniform distribution. At alpha = .01, does this sample contradict the assumption that readership is uniformly distributed among these six age groups? 3) At alpha = .05, is there a difference in variances?

11.2 One particular morning, the length of time spent in the examination rooms is recorded for each patient seen by each physician at an orthopedic clinic. Does the data prove a significant difference in mean times? Time in Examination Rooms (Minutes)FIGURE 11.12 Physician 1 Physician 2 Physician 3 Physician 4 34

Two way ANOVA and statistics null hypothesis

Given the following data for a two-way ANOVA, identify the sets of null and alternative hypotheses, then use the 0.05 level in testing each null hypothesis Factor B 1 2 3 1 152 158 160 Factor A 151 154 160 2 158

Variance analysis and budgets

The budget for May called for production of 9,000 units. Actual output for the month was 8,500 units with total direct materials cost of $127,500 and total direct labor cost of $77,775. The direct labor standards call for 45 minutes of direct labor per unit at a cost of $12 per direct labor-hour. The direct materials standards c