From the above table, it can be observed that the significance value of the analysis of variance table is less than 0.05 which reflects that the model for the variables is significant. The analysis of variance is a statistical test to verify that several samples are from the same population. This test applies when measuring one or more categorical variables (called factors of variability then, their different modalities are sometimes called "levels") that have influence on the distribution of a continuous variable to explain.
Contrast Coefficients
Independent_Var_AB
Contrast
1
2
3
1
0
1
-1
2
-1
0.5
0.5
Contrast Tests
Y total # gestures
Value of contrast
Std. Error
t
df
Sig.(2-tailed
Y total # gestures Assume equal variances 1
2
5.000
4.500
1.771
1.530
2.850
2.935
24
24
.000
.015
Does not assume equal variances 1
5.000
1.788
2.795
12.07
.031
2
4.500
1.516
2.967
12.92
.018
In addition to this, it can be observed that the significance value of the gestures and the independent variables that are activity and setting shows that the model for the non-pair wise main effect is significant.
Part B
Orthogonal Interaction
ANOVA
Y total # gestures
Sum of Squares
df
Mean Square
F
Sig.
Between Groups
547.000
10
103.431
8.647
.038
Within Groups
235.000
13
19.684
Total
782.000
23
Moreover, it can be seen that the significance value of the analysis of variance table for the orthogonal interaction is less than 0.05 which reflects that the model for the variables is significant. Analysis of variance allows us to study the behavior of a variable to be explained in terms of continuous or categorical explanatory variables. When one wishes to study the behavior of several variables to explain the same time, we use a multiple analysis of variance. If a model contains categorical and continuous variables, and we want to study the laws binding the continuous explanatory variables with the dependent variable according to each category of categorical variables, we then use an analysis of covariance.
It is a set of statistical models (statistical model) with procedural accompaniment to these models was able to compare the ...