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Analysis of Variance

Analysis of variance and f-values

1. In an analysis of variance, we also get an F value. This value is based on the SSA(SS total), SSE, and SST values. Assume that we have three columns (or treatments), 5 values per column and SS Total = 39,000, SSE = 35,000. Calculate the following: MSE MST For the above problem, what is the value of F? If the calculat

Analysis of Variance and Hypothesis Testing

Please see the attached questions. Week 3 Revised E-text Assignments: (4 points) Directions: You may include the statistical software output, but you must also include a well-written explanation of the findings. Be sure to answer the question asked in each problem, and explain why, with reference to your output. If you c

ANOVA and Nonparametic Problems

1) Do a larger proportion of college students than young children eat cereal? Researchers surveyed both age groups to find the answer. The results are shown in the table below. (a) State the hypotheses used to answer the question. (b) Using α = .05, state the decision rule and sketch it. (c) Find the sample proportions and

ANOVA: In a bumper test, three types of autos were deliberately crashed into a barrier at 5mph, and resulting damage was estimated. five test vehicles of each type were crashed. Are the mean crash damages the same for these three vehicles?

In a bumper test, three types of autos were deliberately crashed into a barrier at 5mph, and resulting damage was estimated. five test vehicles of each type were crashed. Goliath Varmint Weasel $1,600 $1,290 $1,090 $760 $1,400 $2,100 $880 $1,390 $1,830 $1,950 $1,850 $1,250 $1,220 $950 $1,920 Are the mean crash da

ANOVA and Hypothesis Testing on Specific Cases

See the attached file. 1. Consider the following data taken from a local grocery store, in which monthly sales of baked goods that were placed on different shelves was collected (bottom, middle, top shelves). Is there a difference in monthly sales between shelves? Please test this at a 5% probability level. a. State the hypo

Chi-square, ANOVA

Please see the attachment. 12. 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 3 9 6 2 6 3 5 5 5 1 6 5 3 8 5 1 5 4 4 1 7 5 6 4 a. State the null hypothesis and the alternate hy


Four different assembly processes were under consideration. Sixteen workers were randomly assigned to the four processes, eight per process. The number of correctly assembled units in an eight-hour work shift was recorded: Process 1 Process 2 Process 3 Process 4 31 29 28 32 36

Sample Types & ANOVA Requirements

What is an independent sample? What is a related sample? When should researchers use different hypothesis tests for independent and related samples? Is one type of sample preferable over the other? Why is the F distribution important? How do you determine if a significant difference exists among the groups in ANOVA? How do yo

Perform a randomized block ANOVA test using Excel

Use the following scenario. Develop two-null hypothesis tests to ascertain if there are any statistical variances in the averages of bus route times and any statistical variance among the average performance of the bus drivers. Use the following information to conduct the test: The three bus routes are the treatments. The thr

This solution provides example of Analysis of Variance (ANOVA) investigating the relationship if teengae running shoe ownership depends on world region. The solution is provided in excel with easy to understand formulas

Teenagers make up a large percentage of the market for clothing. Below are data on running shoe ownership in four world regions (excluding China). Research question: At α = .01, does this sample show that teenage running shoe ownership depends on world region? Running Shoe Ownership in World Regions Owned By U.S.

Analysis of Variance

Please show all work for both problems. 1. Random samples of five were selected from each of three populations. The sum of squares total was 100. The sum of squares due to the treatments was 40. a. Set up the null hypothesis and the alternate hypothesis. b. What is the decision rule? Use the .05 significance level. c. Co

Results of a One-Way ANOVA

You come across a research article with the following statement in the Results section: "The results of a one-way ANOVA were statistically significant, F (3, 25) = 4.78, p < .05." A. How many levels did the independent variable have? B. In total, how many subjects participated in the study? In other words, what is vV?

Advantages and disadvantages of ANOVA over the mean test

Can you help me with definitions and how to explain the use of the statements below in everyday life? I am trying trouble relating the statements to personal issues or issues related to work life. *What are the advantages of ANOVA over the mean test and what are the disadvantages? Where would I use this in my everyday life?

Comparing 3 Treatment Means: ANOVA

1. Using the Raw Data State a relevant and useful "ANOVA Type" hypothesis for these 3 populations. This Hypothesis should compare the means between the 3. 2. Perform the 5 steps of hypothesis testing procedure 3. Please present the calculations and results and Graphs 4. Make all possible observations and int


The weights (in grams) of four different colors of M&M candies are given below, along with the mean weight and variance of each color, and the variance of the sample means. Use a one-way ANOVA at the 0.05 significance level to test the null hypothesis that the different color M&M candies have the same mean weight. 4 groups

Statistics: Collecting Data and testing ANOVA

BELOW IS DATA COLLECTED OVER A PERIOD OF 15 DAYS Day 1 6.6 Day 2 5.2 Day 3 6.6 Day 4 5.5 Day 5 7.2 Day 6 4.8 Day 7 2.3 Day 8 7.8 Day 9 7.6 Day 10 7.5 Day 11 6.6 Day 12 5.2 Day 13 6.6 Day 14 5.5 Day 15

ANOVA - At LLD Records

1- At LLD Records, some of the market research of college students is done during promotions on college campuses, while other market research of college students is done through anonymous mail, phone, internet, and record store questionnaires. In all cases, for each new CD the company solicits an "intent-to-purchase" score from

ANOVA for Master Students' Salaries

You collect the following salary figures for Master's Level Students and their salaries after 2 years at work. You are interested in whether or not people with different degrees make more or less money. The data are analyzed using an ANOVA test with the following results: Results attached! 1 What are the null and

Design of Experiments, ANOVA, Coded Factor Level

I need a couple of good example problems worked and done fully. The Book is Design of Experiments by Montgomery. Prefer results in Minitab. Perform DOE a) Estimate factor levels b. Use ANOVA to confirm part A c. Write Down a regression model for predicting tool life (in hours) d. Anlayze the residuals Any obviou

Analysis of Variance problems

Please see attached file for full problem description. 1) Answer the following questions: a) If r2 = 0.95, n = 11 and the = 100, what is or ? b) If r2 = 1, then in (1a) can be shown to have what type of relationship with SST and SSR? c) What relationship exists between and Y where r2 = 1? d) What relationship exi

ANOVA for Comparing Depression Score

As part of a long-term study of individuals 65 years of age or older, sociologists and physicians at the Wentworth Medical Center in upstate New York conducted a study to investigate the relationship between geographic location and depression. A sample of 60 individuals, all in reasonably good health, was selected; 20 individual

ANOVA on Similar Groups

When groups are more alike than different, ANOVA assesses the significance of the difference between two groups. When groups are unalike, will findings be more significant? And what are some conclusions you might draw from that?

ANOVA Analysis and Five-Step Hypothesis Testing

Please see attached file for full problem description and table format. Please show all work. 1. Given the following data conduct a test of hypothesis to determine whether the block and the treatment means differ. Use the .05 significance level and: a. State the null and alternate hypotheses for the treatments; b. State the

ANOVA - Equality of Means

PROBLEMS: Use the file ANOVA Data Sets. Solutions using Megastat or Excel and hand calculations. 1. Given the mean scores from groups 1, 2, & 3, use One-factor (One way) ANOVA to test for the equality of means. Analyze and report on your results. (HINT) The dame data are presented in two common forms in sheet #1. Obser

Housing Starts and Interests Rates

The coefficient of determination between housing starts and interest rates for a sample of 30 quarters was .65. The standard error of the estimate was 20. Develop an ANOVA table.