Statistics (F-Test, Anova, Least Squares Method)

Question 1

One way analysis of Variance is ?

Answer 1

Anova

Question 2

Involves factor, treatment, level, and response

Answer 2

Anova

Question 3

Used in looking for the BEST-FIT CURVE or LINE for a data set

Answer 3

Least Squares Method

Question 4

Test that is used to COMPARE PRECISION

Answer 4

F-Test

Question 5

What is the Null Hypothesis for F-Test?

Answer 5

The two population variances are considered EQUAL

Question 6

What is the Alternative Hypothesis for F-Test under One-tailed and Two-tailed?

Answer 6

The two population variances are:
One tailed: one is greater than the other
Two tailed: UNEQUAL

Question 7

What is the decision rule for both F-Test and Anova?

Answer 7

Reject Null Hypothesis (Ho) if F > F crit, otherwise fail to reject Null Hypothesis (Ho)

Question 8

What is the formula for F-Test?

Answer 8

F = S1^2/S2^2

Question 9

In the formula for the F-Test, which sample variance is the numerator, and which is the denominator?

Answer 9

Larger sample variance = numerator. Smaller sample variance = denominator.

Question 10

Which test detects DIFFERENCES in several population means by comparing the variances?

Answer 10

Anova - One way analysis of variance.

Question 11

The “analyst” in the sample problem from the powerpoint is considered as: Factor/Treatment, Level, or Response?

Answer 11

The analyst is considered as the Factor/Treatment

Question 12

What is the NULL hypothesis (Ho) for Anova?

Answer 12

There is NO SIGNIFICANT DIFFERENCE amongst the population means being considered

Question 13

What is the ALTERNATIVE hypothesis (Ha) for Anova?

Answer 13

There is A SIGNIFICANT DIFFERENCE amongst the population means under consideration

Question 14

In determining the degrees of Freedom for Anova, what are the formulas used?

Answer 14

Numerator = I - 1, Denominator = N - I.

Question 15

What is I and what is N for Anova?

Answer 15

I is the number of factors/treatments (the “analysts”) while N is the number of tests each factor/treatment did

Question 16

What are the assumptions made in the Least Squares method?

Answer 16

There is a linear relationship between 2 data sets (X - independent, Y - dependent).

There must be no errors in the independent variable or x values of the points.

Question 16

What are the assumptions made in the Least Squares method?

Answer 16

There is a linear relationship between 2 data sets (X - independent, Y - dependent).

There must be no errors in the independent variable or x values of the points.

Question 17

What are the quantities that define the slope and intercept of a line?

Answer 17

Sxx, Syy, Sxy