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Chapter 12: Into to Analysis of Variance - Coggle Diagram
Chapter 12: Into to Analysis of Variance
Anova stands for Analysis of variance
Anova compares two or more group meansa
nova test differnces among group means and if they are statisitically significant
Anova uses the f ratio
The null hypothesis that all population means are equal
Variability b/w groups is measured by the total sum of squares
Variabliltly within groups id measured by ss bwtween
Anova means compare means
f close to 1 means no treatment effect
Large f means possible treatment effect
Anova assumes homogeneity of variance
The alternative hypothesis states that at least one population mean is different
The symbol for test statistic is f
Anova controls the risk of type 1 errors that may happen when conducting multiple test
Variability is ss total =ss between + ss within
Gegrees of freedom is df total=df between + df within
degrees of freedom are calculated for both between and within sources of variation
Anova can compare three or more groups at the same time
Mean squares are also calculated by dividing a sum of squares by its degrees of freedom
The total sum of squares measures the total variability in the data
Anova uses homogeneity of variance
Variability between groups is measure by ss between
The smallest f value is 0
F values can't be negative
Variability within groups is measure by ss within