Examples

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Examples
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Randomized Complete Block with a Covariate
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RCB with Covariate Measured on Each Experimental
Unit Ex9.2
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Model 1

• What are the population parameters?
• What tests do we want to do?

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SPSS Syntax
MIXED y1 BY block herb WITH om1 /CRITERIA
CIN(95) MXITER(100) MXSTEP(5) SCORING(1)
SINGULAR(0.000000000001) HCONVERGE(0, ABSOLUTE)
LCONVERGE(0, ABSOLUTE) PCONVERGE(0.000001,
ABSOLUTE) /FIXED herb herbom1 NOINT
SSTYPE(3) /METHOD REML /PRINT COVB
LMATRIX SOLUTION TESTCOV /RANDOM block
COVTYPE(VC) /test(0) "b1b2" all 0 0 1 -1
/EMMEANS TABLES(herb) with (om11) . Test
that the variance of blocks 0
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RCB with Covariate Measured on the Block EX 11.7
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Model 2

• What are the population parameters?
• What tests do we want to do?

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Data in Correct Format
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SPSS SYNTAX
MIXED y1 BY BLK treat WITH X /CRITERIA
CIN(95) MXITER(100) MXSTEP(5) SCORING(1)
SINGULAR(0.000000000001) HCONVERGE(0, ABSOLUTE)
LCONVERGE(0, ABSOLUTE) PCONVERGE(0.000001,
ABSOLUTE) /FIXED treat Xtreat NOINT
SSTYPE(3) /METHOD REML /PRINT G LMATRIX R
SOLUTION TESTCOV /RANDOM BLK COVTYPE(VC)
/EMMEANS TABLES(treat) COMPARE ADJ(BONFERRONI)
. Test that the variance of blocks 0
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AssignmentUse data from exercise11.1(under
Dallas-jo)

• Give model
• Run analyses
• Test if slopes are equal
• Test that the variance of blocks 0
• Graph y versus x with markers treat
• Test the regression lines at x .4,.6 and .8

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Split Plot Design

• No Covariate

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Figure 15.1
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Model
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Data Ignore Moist
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Restructured
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Split Plot Design

• With Covariate

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Figure 15.1
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Model
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Data
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Restructured
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AssignmentUse data from exercise15.8(under
Dallas-jo)

• Give model
• Run analyses
• Test if slopes are equal
• Test that the variance of blocks 0
• Graph y versus x with markers treat

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Layout
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Repeated Measures

• With and Without a Covariate

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Example 16.6
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Another look
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Model
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Type of Covariance Matrices

• VC
• CS
• CSH
• AR1