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Jamie_Bee
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Analysis of Variance (ANOVA)
A procedure used to test the Null Hypothesis that the means of three of more populations are equal.
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The grand mean for all k-samples is
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SST, SSB AND SSW must always be...
positive, since it's they're the sum of squares
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The point estimator for the unknown common variance σk2 is
Mean Square within (MSW)
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Assumptions for ANOVA
- a. k-samples are random and independent
- b.Each of the k-samples came from a normal population
- c. σ21, σ22, σ23, ,σ2k are unknown but equal
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The Statistical Linear Regression model is
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SSxx or SSyy must always be...
positive
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Sxy can be...
positive or negative
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To Construct a (1-  )100% Confidence Interval for unknown B, use
 , where 
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When solving for b in the estimated regression model...
write the equation out in general form first. If there it is "a-bx" that means "a+(-b)x" which implies b is negative
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The population correlation
denoted by  and defined as the strength of the relationship between two variables, x&y.
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The sample correlation
denoted by r. Since the population correlation Rho is usually unknown, the point estimator of the population correlation is the sample correlation r.
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The range for  is
-1<r<1
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if r~1
we have a perfect relationship between x&y in a positive way. That is, if x increases, y increases.
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if r~-1
if x increases, y decreases. Or if x decreases, y increases
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if r~0
the variables x&y are not related
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Coefficient of Determination
denoted by  for the population and r 2 for the sample. But or is usually unknown. The coefficient of determination for the samples represents the % of variation in the dependent variable y, explained by the independent variable (x) in the extimated least squares regression model ŷ  . The higher the value of r 2 the better it is.
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The test statistic for Ho:  is
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If no value of is given, use
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For sample correlation r, approximately equal to 1...
r≈1 for values of r>80% or .8
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