Variance Components (Statistical Associates Blue Book Series 21) Kindle Edition

by G. David Garson (Author)

Be the first to review this item

See all formats and editions Hide other formats and editions

Price

New from

Used from

Kindle

"Please retry"

$5.00

—

Kindle
$0.00 This title and over 1 million more available with Kindle Unlimited $5.00 to buy

VARIANCE COMPONENTS ANALYSIS

Overview

Variance components models are a way to assess the amount of variation in a dependent variable that is associated with one or more random-effects variables. The central output is a variance components table which shows the proportion of variance attributable to a random effects variable's main effect and, optionally, the random variable's interactions with other factors. Random effects variables are categorical variables (factors) whose categories (levels) are conceived as a random sample of all categories. Examples might include grouping variables like schools in a study of students, days of the month in a marketing study, or subject id in repeated measures studies. Variance components analysis will show whether such random school-level effects, day-of-month effects, or subject effects are important or if they may be discounted.

It should be noted that variance components analysis has largely been superceded by linear mixed models and generalized linear mixed models analysis. The variance components procedure is often an adjunct to these procedures. Unlike them, the variance components procedure estimates only variance components, not model regression coefficients. Variance components analysis may be seen as a more computationally efficient procedure useful for models in special designs, such as split plot, univariate repeated measures, random block, and other mixed effects designs.

The full content is now available from Statistical Associates Publishers. http://www.statisticalassociates.com

Below is the unformatted table of contents.

Table of Contents

Overview5
Key Concepts and Terms6
Variables6
Example6
Types of variables7
Variable entry in SPSS8
Models10
Purpose10
Model entry in SPSS10
Balanced vs. unbalanced models11
Multilevel models11
Repeated measures models11
Intercept12
Saved variables12
Variance components12
Procedures12
SPSS12
Estimation12
Overview12
MINQUE estimation method13
Anova estimation method13
Maximum likelihood estimation14
Restricted maximum likelihood estimation15
Variance components output and interpretation16
Overview16
SPSS output16
Anova estimation16
MINQUE estimation output19
Maximum likelihood estimation output20
REML estimation output23
Reconciling variance components estimates25
SAS PROC VARCOMP25
Overview25
SAS Syntax25
SAS interface27
TYPE1 estimation in SAS28
ML, REML, and MIVQUE0 estimation in SAS29
Assumptions31
Random effects31
Homoscedastic random effects31
Uncorrelated random effects31
Uncorrelated residuals31
Well distributed residuals31
Normality31
Linearity32
Correct priors32
Frequently Asked Questions32
What is the syntax for the variance components procedure in SPSS?32
How does variance components (VARCOMP) analysis compare to linear mixed models (LMM, aka MIXED) and general linear models (GLM) for the same data?33
Bibliography33

Length: 46 pages	Word Wise: Enabled	Enhanced Typesetting: Enabled
Page Flip: Enabled

Similar books to Variance Components (Statistical Associates Blue Book Series 21)

Product details

File Size: 1149 KB
Print Length: 46 pages
Publisher: Statistical Associates Publishers; 2012 edition (August 28, 2012)
Publication Date: August 28, 2012
Sold by: Amazon Digital Services LLC
Language: English
ASIN: B0093DFLPE
Text-to-Speech: Enabled

X-Ray:

Not Enabled

Word Wise: Enabled
Lending: Enabled
Enhanced Typesetting: Enabled

Amazon Best Sellers Rank: #406,391 Paid in Kindle Store (See Top 100 Paid in Kindle Store)
- #37 in Kindle Store > Kindle eBooks > Education & Teaching > Teacher Resources > Education Theory > Statistics
- #79 in Kindle Store > Kindle eBooks > Nonfiction > Politics & Social Sciences > Social Sciences > Methodology
- #443 in Books > Politics & Social Sciences > Social Sciences > Methodology

Would you like to tell us about a lower price?

Customer reviews

There are no customer reviews yet.

5 star		0%
4 star		0%
3 star		0%
2 star		0%
1 star		0%

Write a customer review

Set up an Amazon Giveaway

Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers. Learn more about Amazon Giveaway

This item: Variance Components (Statistical Associates Blue Book Series 21)

Set up a giveaway

Look for similar items by category

Books > Education & Teaching
Books > Politics & Social Sciences > Social Sciences > Methodology
Books > Science & Math > Mathematics > Applied > Statistics
Kindle Store > Kindle Short Reads > 90 minutes (44-64 pages) > Education & Reference
Kindle Store > Kindle eBooks > Education & Teaching > Teacher Resources > Education Theory > Statistics
Kindle Store > Kindle eBooks > Politics & Social Sciences > Social Sciences > Methodology