Deck 11: Analysis of Variance Anova: One-Factor Repeated-Measures Design

Question 1

A psychologist wishes to determine whether hypnosis could be used on morbidly obese patients (more than 100 lbs. over ideal weight) to help them lose weight. The hypnosis sessions were conducted by a psychologist-hypnotist once a month for 4 months. The patients' weights were measured at the end of each month for the 4-month period. $\begin{array} { l c c c c } \hline & \text { Month 1 } & \text { Month 2 } & \text { Month 3 } & \text { Month 4 } \\\hline \text { Patient 1 } & 245 & 225 & 219 & 202 \\\text { Patient 2 } & 340 & 311 & 305 & 284 \\\text { Patient 3 } & 298 & 280 & 277 & 244 \\\text { Patient 4 } & 355 & 328 & 309 & 285 \\\text { Patient 5 } & 321 & 322 & 330 & 325 \\\text { Patient 6 } & 414 & 387 & 375 & 340 \\\text { Patient 7 } & 309 & 285 & 277 & 249 \\\hline\end{array}$

-The degrees of freedom for SST are

A)3
B)6
C)27
D)35

Answer 1

27

Question 2

A psychologist wishes to determine whether hypnosis could be used on morbidly obese patients (more than 100 lbs. over ideal weight) to help them lose weight. The hypnosis sessions were conducted by a psychologist-hypnotist once a month for 4 months. The patients' weights were measured at the end of each month for the 4-month period. $\begin{array} { l c c c c } \hline & \text { Month 1 } & \text { Month 2 } & \text { Month 3 } & \text { Month 4 } \\\hline \text { Patient 1 } & 245 & 225 & 219 & 202 \\\text { Patient 2 } & 340 & 311 & 305 & 284 \\\text { Patient 3 } & 298 & 280 & 277 & 244 \\\text { Patient 4 } & 355 & 328 & 309 & 285 \\\text { Patient 5 } & 321 & 322 & 330 & 325 \\\text { Patient 6 } & 414 & 387 & 375 & 340 \\\text { Patient 7 } & 309 & 285 & 277 & 249 \\\hline\end{array}$

-The sum of squares for subjects (SSS) for this problem is

A)48,598.087
B)9,852.485
C)57,207.714
D)739,884.557

Answer 2

57,207.714

Question 3

A psychologist wishes to determine whether hypnosis could be used on morbidly obese patients (more than 100 lbs. over ideal weight) to help them lose weight. The hypnosis sessions were conducted by a psychologist-hypnotist once a month for 4 months. The patients' weights were measured at the end of each month for the 4-month period. $\begin{array} { l c c c c } \hline & \text { Month 1 } & \text { Month 2 } & \text { Month 3 } & \text { Month 4 } \\\hline \text { Patient 1 } & 245 & 225 & 219 & 202 \\\text { Patient 2 } & 340 & 311 & 305 & 284 \\\text { Patient 3 } & 298 & 280 & 277 & 244 \\\text { Patient 4 } & 355 & 328 & 309 & 285 \\\text { Patient 5 } & 321 & 322 & 330 & 325 \\\text { Patient 6 } & 414 & 387 & 375 & 340 \\\text { Patient 7 } & 309 & 285 & 277 & 249 \\\hline\end{array}$

-The correction for the mean (CM) for this problem is

A)2,544,660.03
B)785,342.02
C)26,958.60
D)4,038.57

Answer 3

2,544,660.03

Question 4

A psychologist wishes to determine whether hypnosis could be used on morbidly obese patients (more than 100 lbs. over ideal weight) to help them lose weight. The hypnosis sessions were conducted by a psychologist-hypnotist once a month for 4 months. The patients' weights were measured at the end of each month for the 4-month period. $\begin{array} { l c c c c } \hline & \text { Month 1 } & \text { Month 2 } & \text { Month 3 } & \text { Month 4 } \\\hline \text { Patient 1 } & 245 & 225 & 219 & 202 \\\text { Patient 2 } & 340 & 311 & 305 & 284 \\\text { Patient 3 } & 298 & 280 & 277 & 244 \\\text { Patient 4 } & 355 & 328 & 309 & 285 \\\text { Patient 5 } & 321 & 322 & 330 & 325 \\\text { Patient 6 } & 414 & 387 & 375 & 340 \\\text { Patient 7 } & 309 & 285 & 277 & 249 \\\hline\end{array}$

-The degrees of freedom for SSB are

A)3
B)18
C)24
D)35

Question 5

A psychologist wishes to determine whether hypnosis could be used on morbidly obese patients (more than 100 lbs. over ideal weight) to help them lose weight. The hypnosis sessions were conducted by a psychologist-hypnotist once a month for 4 months. The patients' weights were measured at the end of each month for the 4-month period. $\begin{array} { l c c c c } \hline & \text { Month 1 } & \text { Month 2 } & \text { Month 3 } & \text { Month 4 } \\\hline \text { Patient 1 } & 245 & 225 & 219 & 202 \\\text { Patient 2 } & 340 & 311 & 305 & 284 \\\text { Patient 3 } & 298 & 280 & 277 & 244 \\\text { Patient 4 } & 355 & 328 & 309 & 285 \\\text { Patient 5 } & 321 & 322 & 330 & 325 \\\text { Patient 6 } & 414 & 387 & 375 & 340 \\\text { Patient 7 } & 309 & 285 & 277 & 249 \\\hline\end{array}$

-The sum of squares total (SST) for this problem is

A)830,582.583
B)68,616.964
C)4,794.845
D)6,947,204.958

Question 6

A psychologist wishes to determine whether hypnosis could be used on morbidly obese patients (more than 100 lbs. over ideal weight) to help them lose weight. The hypnosis sessions were conducted by a psychologist-hypnotist once a month for 4 months. The patients' weights were measured at the end of each month for the 4-month period. $\begin{array} { l c c c c } \hline & \text { Month 1 } & \text { Month 2 } & \text { Month 3 } & \text { Month 4 } \\\hline \text { Patient 1 } & 245 & 225 & 219 & 202 \\\text { Patient 2 } & 340 & 311 & 305 & 284 \\\text { Patient 3 } & 298 & 280 & 277 & 244 \\\text { Patient 4 } & 355 & 328 & 309 & 285 \\\text { Patient 5 } & 321 & 322 & 330 & 325 \\\text { Patient 6 } & 414 & 387 & 375 & 340 \\\text { Patient 7 } & 309 & 285 & 277 & 249 \\\hline\end{array}$

-The error term sum of squares (SSW) for this problem is

A)8,524,828.52
B)784,628.05
C)24,869.08
D)2,344.57

Question 7

A psychologist wishes to determine whether hypnosis could be used on morbidly obese patients (more than 100 lbs. over ideal weight) to help them lose weight. The hypnosis sessions were conducted by a psychologist-hypnotist once a month for 4 months. The patients' weights were measured at the end of each month for the 4-month period. $\begin{array} { l c c c c } \hline & \text { Month 1 } & \text { Month 2 } & \text { Month 3 } & \text { Month 4 } \\\hline \text { Patient 1 } & 245 & 225 & 219 & 202 \\\text { Patient 2 } & 340 & 311 & 305 & 284 \\\text { Patient 3 } & 298 & 280 & 277 & 244 \\\text { Patient 4 } & 355 & 328 & 309 & 285 \\\text { Patient 5 } & 321 & 322 & 330 & 325 \\\text { Patient 6 } & 414 & 387 & 375 & 340 \\\text { Patient 7 } & 309 & 285 & 277 & 249 \\\hline\end{array}$

-The degrees of freedom for SSW are

A)3
B)18
C)24
D)35

Question 8

A psychologist wishes to determine whether hypnosis could be used on morbidly obese patients (more than 100 lbs. over ideal weight) to help them lose weight. The hypnosis sessions were conducted by a psychologist-hypnotist once a month for 4 months. The patients' weights were measured at the end of each month for the 4-month period. $\begin{array} { l c c c c } \hline & \text { Month 1 } & \text { Month 2 } & \text { Month 3 } & \text { Month 4 } \\\hline \text { Patient 1 } & 245 & 225 & 219 & 202 \\\text { Patient 2 } & 340 & 311 & 305 & 284 \\\text { Patient 3 } & 298 & 280 & 277 & 244 \\\text { Patient 4 } & 355 & 328 & 309 & 285 \\\text { Patient 5 } & 321 & 322 & 330 & 325 \\\text { Patient 6 } & 414 & 387 & 375 & 340 \\\text { Patient 7 } & 309 & 285 & 277 & 249 \\\hline\end{array}$

-The sum of squares for treatments (SSB) for this problem is

A)285,285.94
B)5,948,285.98
C)82,485.38
D)9,064.68

Question 9

A psychologist wishes to determine whether hypnosis could be used on morbidly obese patients (more than 100 lbs. over ideal weight) to help them lose weight. The hypnosis sessions were conducted by a psychologist-hypnotist once a month for 4 months. The patients' weights were measured at the end of each month for the 4-month period. $\begin{array} { l c c c c } \hline & \text { Month 1 } & \text { Month 2 } & \text { Month 3 } & \text { Month 4 } \\\hline \text { Patient 1 } & 245 & 225 & 219 & 202 \\\text { Patient 2 } & 340 & 311 & 305 & 284 \\\text { Patient 3 } & 298 & 280 & 277 & 244 \\\text { Patient 4 } & 355 & 328 & 309 & 285 \\\text { Patient 5 } & 321 & 322 & 330 & 325 \\\text { Patient 6 } & 414 & 387 & 375 & 340 \\\text { Patient 7 } & 309 & 285 & 277 & 249 \\\hline\end{array}$

-The degrees of freedom for SSS are

A)3
B)6
C)27
D)35

Question 10

A psychologist wishes to determine whether hypnosis could be used on morbidly obese patients (more than 100 lbs. over ideal weight) to help them lose weight. The hypnosis sessions were conducted by a psychologist-hypnotist once a month for 4 months. The patients' weights were measured at the end of each month for the 4-month period. $\begin{array} { l c c c c } \hline & \text { Month 1 } & \text { Month 2 } & \text { Month 3 } & \text { Month 4 } \\\hline \text { Patient 1 } & 245 & 225 & 219 & 202 \\\text { Patient 2 } & 340 & 311 & 305 & 284 \\\text { Patient 3 } & 298 & 280 & 277 & 244 \\\text { Patient 4 } & 355 & 328 & 309 & 285 \\\text { Patient 5 } & 321 & 322 & 330 & 325 \\\text { Patient 6 } & 414 & 387 & 375 & 340 \\\text { Patient 7 } & 309 & 285 & 277 & 249 \\\hline\end{array}$

-The obtained F value for this problem is

A)23.20
B)32.45
C)35.64
D)67.13