Find the sum of squares due to each of the contrasts

Reference no: EM131390202

Refer to given Exercise. Consider the following three contrasts:

(1) difference between the sum of the reduction in blood sugar levels using diet types 1 and 3 from that using diet types 2 and 4;

(2) difference between the sum of the reduction in blood sugar level using diet types 1 and 2 from that using diet types 3 and 4;

(3) difference in the sum of the reduction in blood sugar level using diet types 2 and 3 from that using diet types 1 and 4.

(a) Find the sum of squares due to each of the contrasts and discuss their contribution to the treatment sum of squares.

(b) What null hypothesis is indicated by contrast 1? Test the hypothesis at a 5% level of significance.

Exercise
A doctor is contemplating four types of diet to reduce the blood sugar levels of patients. Because of differences in the metabolism of patients, the doctor categorizes the patients into five age groups. From each age group, four patients are selected and randomly assigned to the diets. After two months on the diet, the reduction in patients' blood sugar levels is found. The results are shown in Table.

(a) Is there a difference in the diet types as evidenced by the mean reduction in blood sugar level? Test at the 5% level of significance.

Patient Age Group	Diet Type
Patient Age Group	1	2	3	4
20-30	40	70	35	40
30-40	60	80	65	60
40-50	65	60	60	50
50-60	30	50	40	20
60-70	45	55	50	30

(b) Find a 90% confidence interval for the mean reduction in blood sugar level for diet type 1.

(c) Find a 95% confidence interval for the difference in the mean reduction in blood sugar levels between diet types 2 and 4. Is there a difference between the two diet types?

(d) Which diet type would you prefer?

Reference no: EM131390202

Questions Cloud

Methods and best practices for conducting a code review : Use the information in the web article Effective Code Reviews Without the Pain for methods and best practices for conducting a code review, and tips for conducting the review remotely

Which of the four scenarios are most important today : Prepare a 2 in half page paper using APA format discussing problem 1 in the "Problems to Ponder" at the end of chapter 11. Which of these four scenarios are most important today? Your answer may include more than one scenario.

What is the largest mass that a water molecule : The water found on Earth is almost entirely made up of the 1H and 16O isotopes for a formula of H2O and a molecular mass of 18.0 amu. What is the largest mass that a water molecule could have using other isotopes?

Experiment in chemistry with a spectrophotometer : When performing an experiment in chemistry with a spectrophotometer to determine a calibration curve for a given substance, what is the real world relevance of the experiment?

Find the sum of squares due to each of the contrasts : Find the sum of squares due to each of the contrasts and discuss their contribution to the treatment sum of squares.- What null hypothesis is indicated by contrast 1? Test the hypothesis at a 5% level of significance.

Have major corporations been unwilling to adapt to the times : Have major corporations been unwilling to adapt to the times and meet competition head on? Are corporate executives better described as risk-averse managers than entrepreneurs willing to take a chance?

What is the resistance of the resistive branch : An RLC parallel circuit is connected to a 240 volt, 60 Hz line. The apparent power of the circuit is 3,865 VA. The inductive VARs are 1,892 and the capacitive VARs are 1,563. What is the resistance of the resistive branch?

What is the formula you will use to calculate : Explain what is the formula you will use to calculate how many millilitres of 5.5 M NaOH are required to prepare 400 mL of 1.5M NaOH?

What is the capacitive reactance of this branch : The capacitive branch of an RLC parallel circuit has a voltage drop of 208 volts. The reactive power is 2,268 VARs. What is the capacitive reactance of this branch?

User Account

All Pages