Applied Multivariate Methods - Homework Repeated Measures | STAT 579, Assignments of Descriptive statistics

Material Type: Assignment; Class: Applied Multivariate Methods; Subject: Statistics; University: University of Tennessee - Knoxville; Term: Unknown 1989;

Typology: Assignments

Pre 2010

Uploaded on 08/31/2009

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Homework๎˜ƒon๎˜ƒRepeated๎˜ƒMeasures๎˜ƒ
A๎˜ƒresearcher๎˜ƒis๎˜ƒinterested๎˜ƒin๎˜ƒthe๎˜ƒeffects๎˜ƒof๎˜ƒdifferent๎˜ƒtherapeutic๎˜ƒtreatment๎˜ƒmethods๎˜ƒand๎˜ƒhow๎˜ƒthey๎˜ƒ
interact๎˜ƒwith๎˜ƒvarying๎˜ƒdosages๎˜ƒof๎˜ƒa๎˜ƒdrug.๎˜ƒPatients๎˜ƒin๎˜ƒa๎˜ƒstudy๎˜ƒare๎˜ƒassigned๎˜ƒto๎˜ƒone๎˜ƒof๎˜ƒfour๎˜ƒtherapeutic๎˜ƒ
treatment๎˜ƒmethods๎˜ƒ(A,๎˜ƒB,๎˜ƒC)๎˜ƒand๎˜ƒare๎˜ƒgiven๎˜ƒa๎˜ƒdrug๎˜ƒbefore๎˜ƒeach๎˜ƒof๎˜ƒfour๎˜ƒdifferent๎˜ƒoffice๎˜ƒvisits.๎˜ƒThe๎˜ƒ
dosage๎˜ƒis๎˜ƒvaried๎˜ƒacross๎˜ƒvisits.๎˜ƒIn๎˜ƒother๎˜ƒwords,๎˜ƒeach๎˜ƒparticipant๎˜ƒreceives๎˜ƒfour๎˜ƒdifferent๎˜ƒdosages๎˜ƒof๎˜ƒthe๎˜ƒ
drug.๎˜ƒHowever,๎˜ƒthe๎˜ƒorder๎˜ƒof๎˜ƒdosage๎˜ƒis๎˜ƒrandomized๎˜ƒacross๎˜ƒtime.๎˜ƒEach๎˜ƒpatient๎˜ƒis๎˜ƒmeasured๎˜ƒon๎˜ƒa๎˜ƒkey๎˜ƒ
response๎˜ƒindicator๎˜ƒat๎˜ƒeach๎˜ƒoffice๎˜ƒvisit.๎˜ƒ๎˜ƒ
The๎˜ƒdata๎˜ƒset๎˜ƒdoses๎˜ƒcontains๎˜ƒthe๎˜ƒdata๎˜ƒfor๎˜ƒ48๎˜ƒpatients.๎˜ƒThe๎˜ƒfollowing๎˜ƒvariables๎˜ƒare๎˜ƒin๎˜ƒthe๎˜ƒdata๎˜ƒset:๎˜ƒ
Method๎˜ƒ๎˜ƒ therapeutic๎˜ƒtreatment๎˜ƒmethod๎˜ƒA,๎˜ƒB,๎˜ƒor๎˜ƒC๎˜ƒ
D1๎˜ƒ๎˜ƒ response๎˜ƒat๎˜ƒ10๎˜ƒmg๎˜ƒdosage๎˜ƒof๎˜ƒthe๎˜ƒdrug๎˜ƒ๎˜ƒ
D2๎˜ƒ๎˜ƒ๎˜ƒ response๎˜ƒat๎˜ƒ20๎˜ƒmg๎˜ƒdosage๎˜ƒof๎˜ƒthe๎˜ƒdrug๎˜ƒ
D3๎˜ƒ๎˜ƒ response๎˜ƒat๎˜ƒ50๎˜ƒmg๎˜ƒdosage๎˜ƒof๎˜ƒthe๎˜ƒdrug๎˜ƒ
D4๎˜ƒ๎˜ƒ response๎˜ƒat๎˜ƒ100๎˜ƒmg๎˜ƒdosage๎˜ƒof๎˜ƒthe๎˜ƒdrug๎˜ƒ
Perform multivariate repeated measures analysis on the doses data using Method as a between-
subjects variable and D1-D4 as the repeated measurements variables. Use polynomial contrasts with
the numeric values 10, 20, 50, and 100 to set the spacing for the orthogonal polynomial contrasts.
Provide a means plot, displaying the mean on the vertical axis, the dose on the horizontal axis, with
different symbols for each of the three methods. Connect the means for each method with straight
lines.
๎˜ƒ

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Homework on Repeated Measures

A researcher is interested in the effects of different therapeutic treatment methods and how they

interact with varying dosages of a drug. Patients in a study are assigned to one of four therapeutic

treatment methods (A, B, C) and are given a drug before each of four different office visits. The

dosage is varied across visits. In other words, each participant receives four different dosages of the

drug. However, the order of dosage is randomized across time. Each patient is measured on a key

response indicator at each office visit.

The data set doses contains the data for 48 patients. The following variables are in the data set:

Method therapeutic treatment method A, B, or C

D1 response at 10 mg dosage of the drug

D2 response at 20 mg dosage of the drug

D3 response at 50 mg dosage of the drug

D4 response at 100 mg dosage of the drug

Perform multivariate repeated measures analysis on the doses data using Method as a between- subjects variable and D1 - D4 as the repeated measurements variables. Use polynomial contrasts with the numeric values 10, 20, 50, and 100 to set the spacing for the orthogonal polynomial contrasts.

Provide a means plot, displaying the mean on the vertical axis, the dose on the horizontal axis, with different symbols for each of the three methods. Connect the means for each method with straight lines.