Purchase Solution

# Sources of Variation

Not what you're looking for?

Average time it takes to process applications

Office 1 Office 2 Office 3
Employee 1 15 11 17
Employee 2 17 21 15
Employee 3 14 12 17
Employee 4 16 27 16

Excel Output -
Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
Column 1 4 62 15.5 1.666667
Column 2 4 71 17.75 58.25
Column 3 4 65 16.25 0.916667
ANOVA
Source of Variation SS df MS F Between Groups 10.5 2 5.25 0.258904 P-value 0.777455
F crit 4.256492
Within Groups 182.5 9 20.27778
Total 193 11
1) What does the F crit mean?
2) What numbers represent the SST, SSE and SS Total?
3) What does the P-value number mean?
4) How do the F and F crit relate to each other? What do these numbers mean?
5) Re-run an ANOVA in Excel and determine if the average processing times between workers (employees are in rows) are the same or different.

##### Solution Summary

The solution answers the question(s) below.

##### Solution Preview

1) The F statistic is formed from the ratio of the two data-model variances. It is possible to compute critical values, Fcrit, for specific levels of confidence and degrees of freedom.

2) SST will compute a wide variety of descriptive statistics on your data set. These include means, standard deviations, ranges, correlations, one-way and multi-way cross-tabulations. These procedures are useful for checking data entry and exploring simple relationships between variables. AutoSignal uses four common goodness of fit statistics. In the following descriptions, SSM is the sum of squares about the mean, SSE is the sum of squared errors (residuals), n is the total number of data values, and m is the number of coefficients in the model. DOF, the degree of freedom, is n-m.

Coefficient of Determination (r-squared)

r² = 1 - SSE/SSM

Degree of Freedom Adjusted Coefficient of Determination

DOF r² = (1 - SSE*(n-1))/(SSM*(DOF-1))

Fit Standard Error (Root MSE)

StdErr = ...

##### Free BrainMass Quizzes

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

##### Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

##### Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.