Your Perfect Assignment is Just a Click Away

We Write Custom Academic Papers

100% Original, Plagiarism Free, Customized to your instructions!

glass
pen
clip
papers
heaphones

SOCIOL 350 University of Massachusetts Amherst Analysis of Variance Questions

SOCIOL 350 University of Massachusetts Amherst Analysis of Variance Questions

Question Description

I’m working on a statistics question and need an explanation to help me study.

1.Use the following sample of 32 GSS cases to analyze the relationship between social class and health assessment. Health is measured according to a four-point scale: 1 = excellent, 2 = good, 3 = fair, and 4 = poor. Four social classes are reported here: lower, working, middle, and upper.

Lower Class

Working Class

Middle Class

Upper Class

3

2

2

2

2

1

3

1

2

3

1

1

2

2

1

2

3

2

2

1

3

2

3

1

4

3

3

1

4

3

1

2

a. Using this data, fill in the following table:

Lower Class

Working Class

Middle Class

Upper Class

n1 =

n2 =

n3 =

n4 =

Sample mean (Y1) =

Sample mean (Y2) =

Sample mean (Y3) =

Sample mean (Y4) =

Sample variance (S1) =

Sample variance (S2) =

Sample variance (S3) =

Sample variance (S4) =

Sample SD (S21) =

Sample SD (S22) =

Sample SD (S23) =

Sample SD (S24) =

Sum of scores (EY1) =

Sum of scores (EY2) =

Sum of scores (EY3) =

Sum of scores (EY4) =

Sum of scores2 (EY21)=

Sum of scores2 (EY22)=

Sum of scores2 (EY23)=

Sum of scores2 (EY24)=

Mean of all respondents (Y) =

N =

1

undefined

b. Calculate the between-group sum of squares (SSB). SSB = ___________________________________________

  • Calculate degrees of freedom (dfb). dfb = ________________________________________________________
  • Calculate the mean square between (MSB). MSB = ________________________________________________
  • Calculate the within-group sum of squares (SSW). SSW = ___________________________________________
  • Calculate degrees of freedom (dfw). dfw = ________________________________________________________
  • Calculate the mean square within (MSW). MSW = ________________________________________________
  • Calculate the F statistic. F = _________________________________________________________________
  • Will we reject or fail to reject the null hypothesis using an alpha = .05? __________________________________

2

QUESTION 2

  1. A researcher is interested in whether there is a significant difference between the mean age of marriage across three racial groups . Based on the data below, calculate the between group sum of squares (SSB).

Race

N

Mean

Black

113

25.39

White

904

22.99

Other

144

23.87

All Groups

1,161

23.33

QUESTION 3

Using the data from Question #2, calculate the degrees of freedom between (dfb).

QUESTION 4

Using the data from Question #2, calculate the mean square between (MSB).

QUESTION 5

If the mean square within calculated for this data is 36.87, what is the value of the F statistic?

QUESTION 6

If alpha is .05 and dfw is 1,158, will you reject or fail to reject the null hypothesis?

QUESTION 6

The 2006 General Social Survey contains information on the number of years of education that respondents have completed. The data are presented below.

White

Black

Other

Total Sample

Mean

13.66

12.87

11.69

13.29

Standard deviation

2.93

2.95

4.36

3.23

N

3,277

630

592

4,499

1.Specify the assumptions required in order to employ ANOVA procedures and conduct an F-test and state the null and research hypotheses.

2.Calculate the between group sum of squares.

3.Next, we need to calculate the sum of squares within. However, as you probably noticed, this would be quite a cumbersome task considering the number of observations in the data set. Instead, let’s work backwards to arrive this quantity. Begin by calculating the degrees of freedom for the sum of squares between and the sum of squares within.

4.Suppose that the value of the F-statistic is 104.65. Using this information and your answers from Questions #4-5, calculate the value of the sum of squares within.

5.Although you calculated these values indirectly in arriving at your answer to Question #6, what are the values of the mean square between and the mean square within?

6.Given your work thus far, what is the critical value for an F-statistic of 104.65 with the associated degrees of freedom you calculated in Question #5, assuming an alpha level of .05? On the basis of your work thus far, can we reject the null hypothesis?

Order Solution Now

Our Service Charter

1. Professional & Expert Writers: Executive Papers only hires the best. Our writers are specially selected and recruited, after which they undergo further training to perfect their skills for specialization purposes. Moreover, our writers are holders of masters and Ph.D. degrees. They have impressive academic records, besides being native English speakers.

2. Top Quality Papers: Our customers are always guaranteed papers that exceed their expectations. All our writers have +5 years of experience. This implies that all papers are written by individuals who are experts in their fields. In addition, the quality team reviews all the papers before sending them to the customers.

3. Plagiarism-Free Papers: All papers provided by Executive Papers are written from scratch. Appropriate referencing and citation of key information are followed. Plagiarism checkers are used by the Quality assurance team and our editors just to double-check that there are no instances of plagiarism.

4. Timely Delivery: Time wasted is equivalent to a failed dedication and commitment. Executive Papers is known for timely delivery of any pending customer orders. Customers are well informed of the progress of their papers to ensure they keep track of what the writer is providing before the final draft is sent for grading.

5. Affordable Prices: Our prices are fairly structured to fit all groups. Any customer willing to place their assignments with us can do so at very affordable prices. In addition, our customers enjoy regular discounts and bonuses.

6. 24/7 Customer Support: At Executive Papers, we have put in place a team of experts who answer all customer inquiries promptly. The best part is the ever-availability of the team. Customers can make inquiries anytime.