Question

Question Completion Status: QUESTION 2 The Null Hypothesis (HO): O The two categorical variables are independent Op1 = P2 = ... = Pg, where g = 4 Homogeneity of distribution of a categorical response Goodness-of-fit test QUESTION 3 Significance level: a = a=0.05 Which test statistic would we use for the test? X-MO 2 = P - Po po(1-P) F = t= MSG MSE x-1 (0-1) E s/n (a) 72 (b) (c) (d) O 1.a O2.b O3.c 04.0

Answer 1

1)

O 1.1, 2, ... ug: ui = mean platelet volume for group i (i= 1,2,3,4)

2)

O P1 = 2 = ... = pg, where g = 4

3)

23.с

4)

count, ni =	35	35	35	35
mean , x̅ i =	10.890	11.25	11.37	11.75
std. dev., si =	0.7	0.7	0.9	1.1
sample variances, si^2 =	0.476	0.548	0.828	1.145
total sum	381.15	393.75	397.95	411.25			1584.1
grand mean , x̅̅ =	Σni*x̅i/Σni =	11.32
( x̅ - x̅̅ )²	0.181	0.004	0.003	0.189
							TOTAL
SS(between)= SSB = Σn( x̅ - x̅̅)² =	6.322	0.148	0.106	6.623			13.1985
SS(within ) = SSW = Σ(n-1)s² =	16.187	18.618	28.155	38.927			101.8878

no. of treatment , k =   4  
DF1 = df between = k-1 =    3  
N = Σn =   140  
DF2 = df within = N-k =   136
      
mean square between groups , MSB = SSB/k-1 =    13.1985/3=   4.3995
mean square within groups , MSW = SSW/N-k =    101.8878/136=   0.7492
      
F-stat = MSB/MSW =    4.3995/0.7492=   5.87

5)

P value =   0.0008

2. P-value < 0.05, we reject HO

6)

4. The data suggest that at least two diagnoses different mean platelet volume.

Please let me know in case of any doubt.

Thanks in advance!

Please upvote!