Data Analysis - Inferential: ANOVA and T-Test Methods

Data analysis –inferential
At this section of the report we are going apply two methods of analysis and that is; t-test and ANOVA.
1. ANOVA TEST
ANOVA table can be used to compare means of more than two population compared to t-test.
a. Board of directors versus carbon emission reduction
The table below shows ANOVA table comparing board of director as independent variable and carbon
emission on the environment as dependent variable.
The table gives the columns for source of variation, degree of freedom, sum of squares, mean square F
value. The degree of freedom of regression is 1, sum of squares of regression is 1347.633, and mean
square of regression is 1347.633. The degree of freedom of residuals or error is 1701, sum of squares of
residual is 6286205.036 and the mean square is 3695.594. The total degree of freedom is 1702, total sum
of squares is 6287552.668. The F-value of the test is 365.
ANOVAa
Model Sum of Squares df Mean
Square
F Sig.
1 Regression 1347.633 1 1347.633 .365 .546b
Residual 6286205.036 1701 3695.594
Total 6287552.668 1702
The table below shows the coefficients of the independent variables. The coefficient of board of directors
is -5.375 and intercept is 11.012.
Coefficientsa
Model Unstandardized
Coefficients
Standardized
Coefficients
t Sig.
B Std. Error Beta
1 (Constant) 11.012 17.612 .625 .532
Board of directors -5.375 8.901 -.015 -.60
4
.546

The table below shows the ANOVA table comparing the independent variables; board of directors and
management incentives and dependent variable carbon emission.
ANOVAa
Model Sum of Squares df Mean
Square
F Sig.
1 Regression 6133.784 2 3066.892 .830 .436b
Residual 6281418.885 1700 3694.952
Total 6287552.668 1702
The table below shows the coefficients of the independent variables; board of directors and management
incentives
Coefficientsa
Model Unstandardized Coefficients Standardized
Coefficients
t Sig.
B Std. Error Beta
1 (Constant) .853 19.744 .043 .966
Board of
directors
-2.764 9.191 -.008 -.301 .764
Management
incentives
4.026 3.537 .028 1.13
8
.255
b. Board responsible and board of directors versus carbon emission reduction
The table below shows ANOVA table comparing board of director and board responsible as independent
variables and carbon emission on the environment as dependent variable.
The table gives the columns for source of variation, degree of freedom, sum of squares, mean square F
value. The degree of freedom of regression is 2, sum of squares of regression is 3476.894, and mean square
of regression is 1738.447. The degree of freedom of residuals or error is 1700, sum of squares of residual is
6284075.774 and the mean square is 3696.515. The total degree of freedom is 1702, total sum of squares is
6287552.668. The F-value of the test is 0.470.
ANOVAa
Model Sum of Squares df Mean Square F Sig.
1 Regression 3476.894 2 1738.447 .470 .625b
Residual 6284075.774 1700 3696.515
Total 6287552.668 1702
a. Dependent Variable: carbon emission reduction

b. Predictors: (Constant), Board of directors, Board responsible
Coefficientsa
Model
Unstandardized Coefficients
Standardized
Coefficients
t Sig.B Std. Error Beta
1 (Constant) -1.340 23.983 -.056 .955
Board
responsible -2.459 9.696 -.007 -.254 .800
Board of
directors 2.359 3.108 .020 .759 .448
a. Dependent Variable: Carbon emission reduction
c. Board responsible versus carbon emission
The table below shows ANOVA table comparing board responsible as independent variable and carbon
emission on the environment as dependent variable.
The table gives the columns for source of variation, degree of freedom, sum of squares, mean square F
value. The degree of freedom of regression is 1, sum of squares of regression is 1347.633, and mean
square of regression is 1347.633. The degree of freedom of residuals or error is 1701, sum of squares of
residual is 6286205.036 and the mean square is 3695.594. The total degree of freedom is 1702, total sum
of squares is 6287552.668. The F-value of the test is 365.
ANOVAa
Model Sum of Squares df Mean Square F Sig.
1 Regression 1347.633 1 1347.633 .365 .546b
Residual 6286205.036 1701 3695.594
Total 6287552.668 1702
a. Dependent Variable: carbon emission
b. Predictors: (Constant), board responsible