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Clinical Biochemistry of Domestic Animals (Sixth Edition) - UMK ...

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20<br />

Chapter | 1 Concepts <strong>of</strong> Normality in <strong>Clinical</strong> <strong>Biochemistry</strong><br />

General Linear Model<br />

Source<br />

Descriptive Statistics<br />

Mean Std. Deviation N<br />

placebo 42.3000 5.01221 10<br />

tcc 51.1000 1.91195 10<br />

acd 60.2000 3.11983 10<br />

Measure: count<br />

Tests <strong>of</strong> Within-Subjects Effects<br />

Type III Sum<br />

<strong>of</strong> squares<br />

df Mean Square F Sig.<br />

cocktail Sphericity Assumed 1602.200 2 801.100 82.336 .000<br />

Greenhouse-Geisser 1602.200 1.283 1248.576 82.336 .000<br />

Huynh-Feldt 1602.200 1.404 1141.393 82.336 .000<br />

Lower-bound 1602.200 1.000 1602.200 82.336 .000<br />

Error(cocktail) Sphericity Assumed 175.133 18 9.730<br />

Greenhouse-Geisser 175.133 11.549 15.164<br />

Huynh-Feldt 175.133 12.634 13.863<br />

Lower-bound 175.133 9.000 19.459<br />

Measure: count<br />

Pairwise Comparisons<br />

(I) cocktail (J) cocktail Mean<br />

Difference<br />

(IJ)<br />

Std. Error Sig a 95% Confidence Interval<br />

Lower Bound Upper Bound<br />

1 2 8.800* 1.672 .002 13.704 3.896<br />

3 17.900* 1.595 .000 22.578 13.222<br />

2 1 8.800* 1.672 .002 3.896 13.704<br />

3 9.100* .706 .000 11.172 7.028<br />

3 1 17.900* 1.595 .000 13.222 22.578<br />

2 9.100* .706 .000 7.028 11.172<br />

Based on estimated marginal means<br />

* The mean difference is significant at the .05 level.<br />

a Adjustment for multiple comparisons: Bonferroni.<br />

FIGURE 1-14 Partial SPSS printout <strong>of</strong> the analysis <strong>of</strong> variance for comparing the three groups <strong>of</strong> Example 5<br />

assuming a repeated measures design.<br />

specified for the repeated measures factor in the Within-<br />

Subject Factor Name box. Then the number <strong>of</strong> categories<br />

<strong>of</strong> the Within-Subject Factor, here 3, is specified in the<br />

Number <strong>of</strong> Levels box. This information is registered [here<br />

as cocktail(3) ] by hitting the Add tab. Hitting the Define<br />

tab opens the Repeated Measures dialog box where the<br />

columns <strong>of</strong> the worksheet corresponding to the levels<br />

<strong>of</strong> the repeated measures factor, here placebo , tcc , and<br />

acd3s , are moved into the Within-Subject Variables box.<br />

Hitting the Options tab opens the Repeated Measures:<br />

Options dialog box. In this dialog box, the repeated measures<br />

factor, here cocktail , is moved from the Factor(s)<br />

and Factor Interactions: box to the Display Means for:<br />

box. Compare main effects is selected, Confidence interval<br />

adjustment method (here Bonferroni ) is specified,<br />

and other display options such as the Descriptive statistics<br />

are requested. The Continue tab is hit to return to the<br />

Repeated Measures dialog box and the OK tab is hit to<br />

get the output.]<br />

A partial printout <strong>of</strong> the SPSS output for the example<br />

is presented in Figure 1-14 . The variance ratio, F 82.3,<br />

is larger than the 62.4 obtained from the One-way ANOVA<br />

<strong>of</strong> the data obtained assuming a completely randomized<br />

design. This is due the smaller error, 9.730, obtained with<br />

the analysis <strong>of</strong> the data obtained under the repeated measures<br />

design compared to that (12.837) obtained from the<br />

One-way ANOVA. This difference is because sizable variability<br />

due to animal, the block was removed from the error<br />

in the analysis <strong>of</strong> the data assuming the repeated measures<br />

design.

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