Business Statistics Chapter 10: ANOVA
IF you don't know what the alpha value is, assume it is...
.05
In which study are cause-and-effect relationships easier to establish?
Experimental Studies
What does MS stand for?
Mean Squares
What is the total degrees of freedom formula?
N-1
What is the MS Error formula?
SS Error/DF Error
SS Treatment + SS Error =
SS Total
What is the MS Treatment formula?
SS Treatment/DF Treatment
What does SS stand for?
Sum of Squares
What is the Mean Square Error (MSE)?
The estimate of the standard deviation squared based on the variation of the sample observations within each sample.
What is a treatment?
a level of a factor.
What is a factor?
a variable that the experimenter has selected for investigation.
What is a completely randomized design?
an experimental design in which the treatments are randomly assigned to the experimental units.
What is the degrees of freedom error formula?
k(n-1)
What is the degrees of freedom treatment formula?
k-1
In an Observational Study...
no attempt is made to control the factors.
In an Experimental Study...
one or more factors are controlled so we can see how the factors affect the variables of interest.
What are experimental units?
the objects of interest in the experiment.
What can we conclude if H0 is rejected?
we cannot conclude that all population means are different, but at least one is different from another.
SS Treatment / df Treatment =
MS Treatment
What is the F-Ratio formula?
MS Treatment/MS Error
What is an ANOVA?
An ANOVA is used to analyze the data obtained from experimental or observational study.
What does ANOVA stand for?
Analysis of variance
What does DF stand for?
Degrees of Freedom
SS Error / df Error =
MS Error
What are the three assumptions of ANOVA?
Independence of Observations, Homogeneity of Variance, Normal Distribution for Each Population
MS Treatment + MS Error =
MS Total
In which hypothesis is the mean all the same?
The null hypothesis
