Question

6. The following table was presented in an article summarizing a study to compare a new drug to a standard drug and to a placebo. (16 points, 4 points each)

Characteristic*

New Drug

Standard Drug

Placebo

p

Age, years

45.2 (4.8)

44.9 (5.1)

42.8 (4.3)

0.5746

% Female

51%

55%

57%

0.1635

Annual Income, $000s

59.5 (14.3)

63.8 (16.9)

58.2 (13.6)

0.4635

% with Insurance

87%

65%

82%

0.0352

Disease Stage

0.0261

Stage I

35%

18%

33%

Stage II

42%

37%

47%

Stage III

23%

51%

20%

*Table entries and Mean (SD) or %

a) Are there any statistically significant differences in the characteristics shown among the

treatments? Justify your answer.

b) Consider the test for differences in age among treatments. Write the hypotheses, the formula, and the name of the test statistic used (No computations required).

c) Consider the test for differences in insurance coverage among treatments. Write the hypotheses the formula, and the name of the test statistic used (No computations required).

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d) Consider the test for differences in disease stage among treatments. Write the hypotheses, the formula, and the name of the test statistic used (No computations required).

6. The following table was presented in an article summarizing a study to compare a new drug to a standard drug and to a placebo. (16 points, 4 points each) Characteristic New Drug Standard Drug Placebo р Age, years 45.2 (4.8) 44.9 (5.1) 42.8 (4.3) 0.5746 % Female 51% 55% 57% 0.1635 Annual Income, S0008 59.5 (14.3) 63.8 (16.9) 58.2 (13.690.4635 % with Insurance 87% 65% 82% 10.0352 Disease Stage 10.0261 Stage! 35% 18% 33% Stage II 42% 37% 47% Stage III 23% 51% 20% *Table entries and Mean (SD) or % a) Are there any statistically significant differences in the characteristics shown among the treatments? Justify your answer. b) Consider the test for differences in age among treatments. Write the hypotheses, the formula, and the name of the test statistic used (No computations required). c) Consider the test for differences in insurance coverage among treatments. Write the hypotheses the formula, and the name of the test statistic used (No computations required). a) Consider the test for differences in disease stage among treatments. Write the hypotheses, the formula, and the name of the test statistic used (No computations required).

Answer 1

ANSWER: (Q) HO: (Nell hypothesis) : There is no significant difference in the the treatments characterstics shown among .. H, : (Altemarive hypothesis) : There is significant different in the Charocterstics shown among the treatments are At du 0. Of Level of significante The p-value of characters tics r. with insurance and disease stage 0.0352 and 00261 respectively Here p-value of both characterstics less than level of significance We can reject the null hypothesis at 0.05 significance level . Thus, there is a statistically significant difference in the characterstics among shown the treatments (b) Ho: 96,- 912=913 Ha: At least one mean is eliffer foom other Test Statistics F: MST NE MSE (6-1, n-kjdf 09 The Nuri hypothesis HO : 01,= 112 = 913 Alternative hypothesis Hai A least one mean is differ from other F = MST MSE NF (K-1,0-K) MST: Mean sum of squares due to treatments MSE : Mean egody sum of squares

treatments (d) Let the test for differences in disease stoge among Ho es, ll2 = llz Hl: atleast one of the mean is not o where Ilp = population mean Of new doug llo population mean Of Standard doug Mg = population mean of placebo F-test Fs MST MSE MST: SST df If p-value significance level, reject the nun hypothesis and conclude that not at all of population means are equal Of the means are statistically The difference between some Significant Thanking you please give like it helps to motivate me to do more work friend