What is ANOVA testing of regression and how it is calculated?
Answer:
ANOVA stands for ANalysis Of VAriance, and measures the difference between groups of data. An ANOVA compares the mean values of multiple groups and gives an estimate of how likely it is that the results you have could be the result of chance. An ANOVA is usually calculated using a computer, with statistical software such as SPSS or a basic computational program such as Microsoft Excel. Calculations by hand are long and painful, and I am unfamiliar with any situation in which that would be expected.
ANOVA stands for analysis of variance, which basically looks at how data varies around a mean. The tighter the spread of the data points the more likely a relationship exists. Regression helps measure relationships between variables that may even affect each other.
For example, one might test reasons for buying a hybrid car? Answers might include gas mileage, environment and technology. After several or hundreds of people answered, you could run regression to test a hypothesis such as, people buy hybrids because of the environment.
There are many differents methods depending on the shape of the data you collect and number of variables you are testing. The basic calculations are sample averages and standard deviations.
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