Formulas: Statistics - Anova

What are the 3 3letter formulas called and how do they relate to each other?
- SST = SSW + SSB
- Total = WithinGroups + BetweenGroups
What is the formula for SST?
What does SST stand for?
- for each data-point
- y=datapint
- yHat= The great Mean
What is the formula for SSB?
What does SSB stand for?
- do for each data-point in each group
- (but only use means vs GrandMean)
- Xi= group mean
- xHathat = the great mean mean
F-statistic value formula?
What two variables are used with degrees of freedom calculations?
What do they represent?
What is a degree of freedom?
- m = nr of groups
- n = nr of data-points in group
- They represent how many datapoints you can remove if you know the total value of sst/ssb/ssw and still find all values of each datapoint. its like if we know
- 5+10=15 then we can say we have 1 degree bc we can set 5=x and still know get the ans to X but if we say x + y = 15 then we can calc so we don't have 2 degrees of freedom.
How do we calculate the DF for SST?

(m*n)-1= DF
How do we calculate the DF for SSW?

DF = m*(n-1)
How do we calculate the DF for SSB?

DF = m-1
How many formulas should I know?
- 7.
- SST
- SSW
- SSB
- F-Value
- DF-SST
- DF-SSW
- DF-SSB
What is the formula for SSW?
What does SSW stand for?
- for each data-point vs currentGroupMean
- Xij= datapoint
- XHati = group mean

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Formulas: Statistics - Anova

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Anova formulas

Updated

2018-12-24T10:59:47Z