ANOVA - Group Variance
1. What is meant by within group variance? Between group variance? How does the ANOVA procedure use these concepts? 2. What are the 6 steps to the ANOVA hypothesis test?
Analysis of Variance
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Conduct and interpret the appropriate analysis to determine the effect of the different teaching methods on ability to communicate.
Suppose you are interested in whether or not fluency with the English language is affected by the teaching method. You are working with a school system that has a large population of children for whom English is their second language. This school system is open to trying new teaching methods, so you set up a study where Classr
Conduct the appropriate analysis to determine if there were significant effects of gender and dress.
Time to help a stranger was investigated by a group of undergraduate psychology majors as a part of their Introduction to Research Methods course. The students thought that gender of the person asking for help would be a factor, as would the dress of the person asking for help. So to investigate this, the students staged a car
ANOVA & Students T-Test for Diet Data
Student volunteers in a weight loss project were randomly assigned to one of three diets. After 2 months on the diets, subjects were weighed and weight loss was recorded for each person. a. Conduct a test to determine if there was a significant effect of the diets. Include both analysis and graph. b. Create the appropria
At the .05 significance level, can she conclude there is a difference in the mean number of hours spent at a terminal per week by industry?
The manager of a computer software company wishes to study the number of hours top executives spend a their computer terminals 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 spen
Hypothesis Testing: Three Categories
1. Group the districts based on the percent of students on welfare: "low" (less than 5 percent), "moderate" (5 up to 10 percent), and "high" (10 percent or more). Conduct a test of hypothesis to determine whether the three categories are equally represented in the sample. Use the .05 significance level. 2. Identify each distr
Statistics - Anova - Two factor Experiment
Articles manufactured by a company are produced by 3 operators using 3 different machines. The manufacturer wishes to determine whether there is a difference (a) between operators (b) between machines. An experiment is performed to determine the number of articles per day produced by each operator using each machine : the r
Examples of ANOVA use
#4.1 Analysis of variance (ANOVA) is used to determine if there is a difference between the means of different populations. For example, I had a student in Prescott who raised hens. A company was trying to sell her the feed they produced by claiming that if her hens ate their feed the hens would produce more eggs. They offered
ANOVA to determine the effectiveness of fore training programs
#4.2 The personnel manager of a large finance company wished to evaluate the effectiveness of 4 different sales-training programs designed for new employees. A group of 32 recently hired employees are randomly assigned to the 4 training programs so that there are 8 subjects in each program. At the end of the program an exam i
Statistics One way Anova - unequal observations- One Factor
The table below gives the number of miles to the gallon obtained by similar automobiles using 5 different brands of gasoline. Test at the (a) 0.05 level (b) 0.01 level of significance whether there is any significant difference in brands. Brand Miles Brand A 12 15 14 11 15 Brand B 14 12 15
ONE WAY ANOVA One-Way Classification One-Factor Experiment for equal number of Observations
ANOVA One-Way Classification Or One-Factor Experiment for equal number of Observations A company wishes to test 4 different types of tires, A, B, C, D. The lifetimes of the tires, as determined from their treads, are given ( in thousands of miles ) in table below, where each type has been tried on 6 similar automobiles as
ANOVA One Factor Experiments - One way Classification
An experiment is performed to determine the yields of 5 different varieties of wheat, A, B, C, D, E. Four plots of land are assigned to each variety, and the yields (in bushels per acre) are as shown in table. Assuming the plots to be of similar fertility and that varieties are assigned at random to plots, determine if there is
Fathers recorded how many minutes per day they played with their child for 5 days. This data file contains 60 cases and three variables; a factor indicating the disability status of the child, a factor indicating the child?s gender, and a play time score averaged across 5 days.
Fathers recorded how many minutes per day they played with their child for 5 days. This data file contains 60 cases and three variables; a factor indicating the disability status of the child, a factor indicating the child?s gender, and a play time score averaged across 5 days. 5. Conduct a two-way ANOVA to evaluate differen
ANOVA from output table
ANOVA: Single Factor SUMMARY Groups Count Sum Average Variance Column 1 70 29296 418.5143 2069.732 Column 2 66 26720 404.8485 1274.254 Column 3 73 29468 403.6712 938.696 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 9546.877 2 4773.438 3.353505 0.036881
ANALYSIS OF VARIANCE
VERBAL FEMALE 646 539 348 623 478 429 298 782 626 533 MALE 562 525 512 576 570 480 571 555 519 596 MATH FEMALE 484 489 436 396 545 504 574 352 365 350 MALE 547 678 464 651 645 673 624 624 328 548 Test the null hypothesis that SAT scores are not affected by an inte
ANALYSIS OF VARIANCE/ CRITICAL THINKING
A DRUG IS DEVELOPED TO LOWER PULSE RATES. In order to obtain more consistent results that do not have confounding variables of gender, the drug is tested using males only. Given below are pulse rates for a placebo group, a group of men treated with Xynamine in 10 mg doses and a group of men treated with 20mg doses. Research find
Variance Testing : Analysis-of-variance Test ( ANOVA )
Perform an analysis-of-variance test to see if the following sets of numbers were selected from distributions with the same mean: a. 18, 9, 15, 10, 16, 8, 7, 20, 13, 8, 12 b. 17, 13, 9, 8, 10, 13, 16, 17, 12, 11, 17 c. 15, 13, 13, 14, 15, 20, 15, 14, 9, 16, 12 d. 16, 12, 13, 12, 14, 11, 8, 13, 17, 15, 14
Use a test of hypothesis with three or more population means (that can be analyzed using ANOVA technique) at your employment or personal life. Hypothesis Testing
Question 1 Discuss an example where you would use a test of hypothesis with three or more population means (that can be analyzed using ANOVA technique) at your employment or personal life. Question 2 Many real estate companies and rental agencies now publish their listings on the Web. One example is the Dunes Realty Compan
Anova: Two-Factor With Replication
Anova: Two-Factor With Replication. See attached file for full problem description.
Analysis Tool
1. We wish to analyze the results from a study which involved the following steps: A random sample of 500 participants was recruited for the study ? Subjects were allowed to elect to participate in an 3-month exercise program or serve as a control subject (190 chose the program, 310 chose to serve as controls) ? Subjects wer
The following data are from three investigators (Adam Site; Ima Dumme, and Izzy Mor-Ose) who ran identical learning experiments in their own labs (after carefully training to gather data identically) to determine if their results differed by geographic area (Adam is from the Northeast, Ima from the Southwest, and Izzy from the Midwest). The data are number of trials to learn to go left at the first turn in a maze for each of their 20 rats. Answer each of the four questions and don't forget to include a verbal statement of your interpretation of the outcomes.
The following data are from three investigators (Adam Site; Ima Dumme, and Izzy Mor-Ose) who ran identical learning experiments in their own labs (after carefully training to gather data identically) to determine if their results differed by geographic area (Adam is from the Northeast, Ima from the Southwest, and Izzy from the M
Variance for two-way ANOVA
What is the formula used to compute variance when performing a two-way anova? Ex: Count 2 2 4 Sum 32 34 66 Average 16 17 16.5 Variance 72 18 30.33333333
Provide a write-up of the research highlighting where statistical analysis is being used and why it's used
1. Provide a write-up of the research highlighting where statistical analysis is being used and why it's used. The paper should use the attached article and should include the terms Job Satisfaction AND ANOVA, or Job Satisfaction AND One-Way ANOVA. 2. Examine and work through as an ANOVA calculation. In this regard, remember
Clarification of Analysis of Variance
There are four auto body shops in a community and they all claim to promptly serve customers. To check if there is any difference in service, customers are randomly selected from each repair shop and their waiting times in days are recorded. The output from a statistical software package is: Summary Groups..........Count...
Equality of variance and ANOVA
3. It is desired to determine whether there is less variability in the silver plating done by Company 1 than in that done by Company 2. If independent random samples of size 13 of the two companies? work yield s1 = 0.062 mil and s2 = 0.035 mil, test the null hypothesis ?sigma?1squared = ?sigma?2squared against the alternative hy
One ANOVA with eta and Tukey HSD.
Suppose that you are interested in determining the effectiveness of an intensive supervision probation (ISP) program. To examine its effectiveness, you keep track of 12 offenders sentenced to ISP for one year and tabulate the number of new offenses they committed. You also gather two control groups. The first consists of 12 offe
Making an ANOVA table.
What are the calculations involved in making an ANOVA table (F test) by hand? How do you do an ANOVA by hand?
ANOVA for Flammability tests in Minitab
Flammability tests were conducted on children's sleepwear The Vertical Semirestrained Test was used, in which pieces of fabric were burned under controlled conditions. After the burning stopped, the length of the charred portion was measured and recorded. The same fabric samples were tested at five different laboratories. Th
Analysis of variance (ANOVA)....
This problem uses the weights of poplar trees for Year 1 and Site 1. If we use the weights for Year 2 and site 1, the analysis of variance results are shown above. Assume we want to use a 0.05 significance level in testing the null hypothesis that the four treatments result in weights with the same population mean. See a
ANOVA types and repeated measures analysis
1. Give an example of a repeated measures analysis of variance (ANOVA)--no examples of therapy or temperature. 2. Give an example of a factorial ANOVA. no examples of therapy or temperature. With a minimum of 20 people per cell/sample, how many participants will be required for this study? These questions are samp