In: Statistics and Probability
1.Determine whether the following statement would be the null or research hypothesis in an ANOVA: "there is not a difference between any of the means (μ1=μ2=μ3=μ4)”?
A.The research hypothesis
B.The null hypothesis
2.What is one of the limitations of ANOVA?
A. ANOVA is only useful with independent variables that have two categories.
B.Although it measures statistically different averages between or within groups, it has inappropriate measures for degrees of freedom.
C.Although it measures statistically different averages between or within groups, it does not distinguish which average is statistically different, only that there is a difference.
D.Variation is better captured by MANOVA.
3.ANOVA can be used with which level(s) of measurement of the dependent variable?
A.Interval-ratio only
B.Ordinal only
C.Nominal only
D.Interval-ratio and ordinal
E.Ordinal and Nominal
F.Nominal and interval-ratio
4.True or false, the F statistic is the ratio of between-group variation to within-group variation
5.True or false, the F distribution is not symmetrical but skewed to the right.
6.What is the statistic associated with ANOVA?
A.Chi-square statistic
B.Regression coefficient
C.Sum of squares statistic
D.F statistic
7.True or false, a larger obtained F statistic suggests greater between-group variance than within-group variance and increases the chances of rejecting the null
8.Regarding the direction of a relationship between two variables, choose the best description of a positive association.
A.A relationship between two variables where the observations of the variables move in opposite directions, e.g. as the values of one variable increase, values of the other variable decrease or vice versa. For example, alcohol consumption and the strength of the body’s immune system.
B.A relationship between two variables where the observations of the variables move in opposite directions, e.g. as the values of one variable decrease, values of the other variable also decrease. For example, exposure to nuclear radiation and incidence of cancers.
C.A relationship between two variables where the observations of the variables move in the same direction, which can be upward and downward e.g. as the values of one variable increase, values of the other variable also increase. For example, age and educational attainment.
D.A relationship between two variables where the observations of the variables move in the same upward direction, but not downward direction, e.g. as the values of one variable increase, values of the other variable only increase. For example, age and time.
1.Determine whether the following statement would be the null or research hypothesis in an ANOVA: "there is not a difference between any of the means)”?
A.The research hypothesis
B.The null hypothesis correct
2.What is one of the limitations of ANOVA?
A. ANOVA is only useful with independent variables that have two categories.
B.Although it measures statistically different averages between or within groups, it has inappropriate measures for degrees of freedom.
C.Although it measures statistically different averages between or within groups, it does not distinguish which average is statistically different, only that there is a difference.
( We use differnt comparision test test for which average is statistically different.)
D.Variation is better captured by MANOVA.
3.ANOVA can be used with which level(s) of measurement of the dependent variable?
A.Interval-ratio only
B.Ordinal only
C.Nominal only
ANOVA (Analysis of Variance) ANOVA is a statistical technique that assesses potential differences in a scale-level dependent variable by a nominal-level variable having 2 or more categories.
D.Interval-ratio and ordinal
4.True or false, the F statistic is the ratio of between-group variation to within-group variation
Hope this wiil be helpful. Thanks and god Bless You. Post remaining questions separately.