Is t-test or anova sensetive to outliers

Assignment Help Basic Statistics
Reference no: EM13242065

In May 1998, the New York Times carried an article by Adam Bryant describing a research project to relate two rather diverse phenomena: the performance of a Fortune 500 company, and the golf game of its CEO. Before we go further, you should read this article.

Bryant, Adam (May 31, 1998). Duffers Need Not Apply, The New York Times. Section 3; Page 1; Column 1 You may use our library to retrieve it . You may click here for a quick access.

Are you convinced now? If so perhaps it is time to pack up the statistical tools in their tool bag and break out the golf bag. Or perhaps it's just time to sharpen those statistical tools a little, and see just what underlies this case.

The data described in the Bryant study can be found here using this SPSS data set already created.

The Bryant article reports its conclusion based on a subset of 44 cases from the 51 in the data set. This time we will use the whole dataset. Let us seperate them into three groups. This involves identifying 14 low performing companies, 25 middle performing companies, and 12 high-performing companies based on StockRate.
The next step is to decide whether these differences are real or not. The article makes the claim that they are; see what you find. A good first step would be to calculate confidence intervals for the means of the three groups. Prepare graphs of confidence intervals for the means of handicap for each of the groups. Interpret the results.
Now let us try the t-tests. You should conduct independent samples t-tests to decide whether the differences between the groups are supported. Let us work on group 1 vs. group 2 for Stockrate. Then group 2 vs. group 3 for Stock rate.
When we want to test multiple groups, we would need to use ANOVA test. Let us using ANOVA (and follow up pair-wise t tests if necessary). Interpret the results. You are welcome to draw the confidence intervals and compare them.
Transfer your output to Word® and format it in an appropriate manner. In your paper, address the following issues.

• the value of the Bryant article as a description of credible research on management

• The nature of the hypothesis being tested, and the appropriateness of the statistical procedures employed in that test. You may illustrate your points using the tests you conducted.

• 7 out of 51, that is about 14% of the data. Is removing 14% of the data an acceptable approach?

• How should we remove the outliers? Is t-test or ANOVA sensetive to outliers?

• Your evaluation of the discussion of the research, as reported by Bryant. Why people may think that there is a relationship between golf and firm performance. If you are going to study such relationship, how would you collect data and carry out the study?

• Your evaluation of why the New York Times published the article, and why it continues to get attention

Reference no: EM13242065

Questions Cloud

Complete the analysis of variance : Complete the analysis of variance. At a .05 level of significance, is there a significant difference between the treatments?
Find how much before tax rate of return-btrr : If I am in the state marginal tax rate of 6% and the federal tax rate of 25%, how much before tax rate of return (BTRR) will I have to generate to yield an after-tax of return (ATRR) of 6%
Compute the frequency of the light emitted : Calculate the frequency of the light emitted when an electron in a hydrogen atom makes each of the following transitions.
Why might fire extinguishers exhibit positive externalities : a. why might fire extinguishers exhibit positive externalities b. draw a graph of the market for fire extinguishers, labeling the demand cruve, the social-value curve, the supply curve, and the social cost curve.
Is t-test or anova sensetive to outliers : The nature of the hypothesis being tested, and the appropriateness of the statistical procedures employed in that test. You may illustrate your points using the tests you conducted.
Which measure of center would be best used to advertise the : Suppose we are with a real estate agency that has the following houses listed in a specific geographic area. $150,000; $146,000; $152,000; $155,000; $143,000; $157,000; $180,000; $148,000; $154,000; $146,000; $155,000
Calculate the acceleration of the alpha particle : An alpha particle (the nucleus of a helium atom formed by 2 protons and 2 neutrons with charge q = +2(1.6 x 10-19 C), Calculate the acceleration of the alpha particle
How is credibility related to the time inconsistency problem : What is the policy credibility and how is it relevant to the problem of reducing high inflation How is credibility related to the time inconsistency problem What are the evidence of the Phillips curve.
What is the level of price output and amount of profit for : What is the level of price, output, and amount of profit for an unregulated monopolist? (b) Using the data in the table, what are the price, output, and profit for a regulated monopolist that sets price equal to marginal cost compared with an unregul..

Reviews

Write a Review

Basic Statistics Questions & Answers

  Various high-risk intersections

A number of minor automobile accidents occur at various high-risk intersections. A study was done. Eight intersections were chosen at random. The number of minor accidents during a 6-month period before and after the modifications were:

  Average forecast method

Compute a 5-month moving average forecast for June through January.

  What is the probability that the number is a multiple

Fifty raffle tickets are numbered 1 throughout 50, and one of them is drawn at random. What is the probability that the number is a multiple of 5 or 8? Consider the following "solution": Since 10 tickets bear numbers that are multiples of 5 and 6 ..

  Multiple regression-chi-square test statistic

A multiple regression analysis includes 25 data points and 4 independent variables results in SST = 200 and SSR = 150. the multiple standard error of estimate will be?

  Info confidence intervals

The winning team's scores in 7 high school basketball games were recorded. If the sample mean is 10.3 points and the sample standard deviation is 0.10 points,

  Draw curves representing distribution of original population

Sketch curves representing the distribution of the original population and the sampling distribution of x for a sample of size n+16.

  Find shape of actual distribution of dollar losses

This sample is 500 so the distribution of the sample means will be normal, no matter what the shape of the actual distribution of dollar losses.

  Hypothesis testing of advertising

A company that depends heavily on advertising for selling its products wants to know if its various advertising media have different effectiveness relative to the age of the customer.

  Orderings of population means according to tukey procedure

What is your decision about H0 and H1 at = 0:05? Give the orderings of the population means according to the tukey procedure. Is H0 : 2 = 4 a contrast?

  Seasonal indexes-multiplicative model

The monthly sales volume (in thousands of dollars) for a manufacturer of snow skis is seasonal (there tend to be more skis sold during fall and winter months than during warmer months). The following table shows the monthly seasonal indexes for th..

  Relationship between the two averages

Calculate the average of deposits per bank for FDIC- inured institutions during both time periods and describe the relationship between the two averages. Provide a reason for the difference.

  Hr statistical data analysis and evaluation

Identify the types of processes and analyses used in HR that use data analysis and evaluation. Discuss generally how statistics can be used in hiring, turnover, performance management, training, culture assessments, and other dashboard indicators ..

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd