Question

In: Statistics and Probability

3. Consider the data shown in Table 12–19. Identify three modifications, either design or statistical, that...

3. Consider the data shown in Table 12–19. Identify three modifications, either design or statistical, that would result in a more effective table.

TABLE 12–19 Baseline Characteristics of Participants in Randomized Trial*

Characteristic

Treatment Group (n = 361)

Placebo Group (n = 344)

p-Value

Age, years

45.8

47.6

0.5467

Male sex

201

198

0.7561

Systolic blood pressure

128.25 ± 14.2

121.7 ± 13.91

0.645

Race/ethnicity

Asian

184

180

White

107

100

Hispanic

70

64

Solutions

Expert Solution

Sol:

Since sample sizes are different, it is advisable to represent categorical variables in terms of proportions (percentages) to afford a more meaningful comparison. The following table shows this modifications:

Characteristic

Treatment Group

Placebo Group

(n = 361)

(n = 344)

Age, years

45.8

47.6

Male sex (%)

55.68

57.56

Systolic

blood pressure

128.25 ± 14.2

121.7 ± 13.91

Race/ethnicity (%)

Asian

50.97

52.33

White

29.64

29.07

Hispanic

19.39

18.60

With the above modifications, it is clear that the representation of all the categorical variables have been fairly uniform between the two groups under study.

On the response variable, Systolic blood pressure, the Treatment Group has a higher mean value than the Control Group. However, in terms of variability the two groups do not differ.

Since the response variable is known to be age-related, the observed difference might be more pronounced if the age variable is also factored into the analysis.


Related Solutions

Consider the data shown in the following table. Identify any modifications that would result in a...
Consider the data shown in the following table. Identify any modifications that would result in a more effective table. Comment the characteristics of participants. Baseline Characteristics of Participants in Randomized Trial Characteristic Treatment Group (n = 361) Placebo Group (n = 344) Age, years 45.8 47.6 Male sex 201 198 Systolic blood pressure 128.25 ± 14.2 121.7 ± 13.91 Race/ethnicity Asian 184 180 White 107 100 Hispanic 70 64
Statistical concepts for engineering management: Consider the data in the table on the bottom a. Generate...
Statistical concepts for engineering management: Consider the data in the table on the bottom a. Generate a model for y as a function of x b. Is this model useful? Justify your conclusion (based on i) R2 adjusted, ii) Hypothesis test for model coefficient, iii) overall model adequacy test and iv) regression assumptions) c. If needed, modify model as appropriate and generate the new model. x y 5 6 6 9 7 11 8 13 9 14 10    15 11  ...
Consider the headway data shown in the following table. Data was taken from the center lane...
Consider the headway data shown in the following table. Data was taken from the center lane a three-lane intersection approach for a total of ten signal cycles. For the purposes of the analysis, the data may be considered to have been collected under ideal conditions. Calculate the average headway per vehicle ID, and plot the average headways with respect to vehicle positions in the queue for the data shown below. Sketch an approximate best-fit curve through the data. Use the...
Consider the following time series data. Week 1 2 3 4 5 6 Value 19 12...
Consider the following time series data. Week 1 2 3 4 5 6 Value 19 12 15 11 18 13 a. Use α = 0.2 to compute the exponential smoothing forecasts for the time series. Week Time Series Value Forecast 1 19 2 12 3 15 4 11 5 18 6 13 Compute MSE. (Round your answer to two decimal places.) MSE =   b. Use a smoothing constant of α = 0.4 to compute the exponential smoothing forecasts. Week Time...
Consider a world that only consists of the three stocks shown in the following​ table: LOADING.......
Consider a world that only consists of the three stocks shown in the following​ table: LOADING.... a. Calculate the total value of all shares outstanding currently. b. What fraction of the total value outstanding does each stock make​ up? c. You hold the market​ portfolio, that​ is, you have picked portfolio weights equal to the answer to part b with each​ stock's weight is equal to its contribution to the fraction of the total value of all stocks. What is...
Consider a world that only consists of the three stocks shown in the following​ table: LOADING......
Consider a world that only consists of the three stocks shown in the following​ table: LOADING... . a. Calculate the total value of all shares outstanding currently. b. What fraction of the total value outstanding does each stock make​ up? c. You hold the market​ portfolio, that​ is, you have picked portfolio weights equal to the answer to part b with each​ stock's weight is equal to its contribution to the fraction of the total value of all stocks. What...
Consider the following data on x and y shown in the table below, x 2 4...
Consider the following data on x and y shown in the table below, x 2 4 7 10 12 15 18 20 21 25 y 5 10 12 22 25 27 39 50 47 65 Fit the model E(y)=β0+β1x to the data, and plot the residuals versus x for the model on Minitab. Do you detect any trends? If so, what does the pattern suggest about the model?
Using the normal probability paper shown in Table 6–3, label the x axis with the class boundaries as shown and plot the percents. Data from in Table 6-3
Using the normal probability paper shown in Table 6–3, label the x axis with the class boundaries as shown and plot the percents. Data from in Table 6-3
You have been given the expected return data shown in the first table on the three...
You have been given the expected return data shown in the first table on the three assets - F, G, and H - over the period 2016-2019 Expected Return Expected Return Expected Return Year Asset F Asset G Asset H 2016 16% 17% 14% 2017 17 16 15 2018 18 15 16 2019 19 14 17 Using these assets, you have isolated the three investment alternatives shown in the following table. Alternative Investment 1 100% of asset F 2 50%...
Three blocks of mass ?1=?2=?3=1?? are stacked on a table as shown. The surfaces of the...
Three blocks of mass ?1=?2=?3=1?? are stacked on a table as shown. The surfaces of the blocks and table are coated with Teflon and all have the same small coefficient of friction, ??=??=0.01. A force of 30N is applied straight down on the top mass as shown. a) Draw a free body diagram for each mass labelling all forces. b) Which direction might the bottom mass move and why? c) What is the acceleration of the top mass?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT