7.2,3,4 statistical analysis for the three or more variables & measures of relationship among variables, other statistical tests

f-value

test statistic that is calculated in analysis of variance (anova)

Duncan's New Multiple Range Test

post-hoc analysis when the initial ANOVA test shows a significant difference between group means

correlation analysis

A statistical technique used to determine the strength or degree of linear association between variables

simple linear correlation

a useful measure of relationship for quantifiable values which can be paired or which come in pairs

computed r value

provides an idea of the nature and degree of relationship between paired factors

-1 to 1

range of r values

regression analysis

a statistical technique used to study the functional relationship between two or more variables

regression analysis

• Establish the causal relationship (dependent and independent variables)

• Estimate the value of a variable given another variable.

• Explain the variation of one variable by the other variable.

index of determination

The measure of the proportion of

change in y that can be explained

by the extent of variation in x

spearman correlation coefficient, rs

a measure of the association between the ranks of the independent and the dependent variables

cramer’s measure

used when data are not derived from an interval or ordinal scale but from a nominal scale