Randomized Comparative Experiments, Exams of Probability and Statistics

In a clinical trial a researcher may unconsciously place healthier looking patients into the group getting the new drug on interest.

Typology: Exams

2022/2023

Uploaded on 03/01/2023

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Randomized Comparative Experiments
`Subjects are randomly assigned to one of at least two
treatment groups.
`The same response variable is measured for all the
treatment groups and then compared together.
x
x
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Randomized Comparative Experiments ^ Subjects are randomly assigned to one of at least twotreatment groups.^ The same response variable is measured for all thetreatment groups and then compared together.

x^ x

Randomized Comparative Experiments `^ Randomization is important so that bias is not added intothe selection of treatment groups.Ex. In a clinical trial a researcher may unconsciously placehealthier looking patients into the group getting the newdrug on interest.

Diagram of Example 1^ 20 RoseBushes

New Soil(10) Current Soil(10)

Compare : โ€ข^ Size โ€ข^ Color โ€ข^ HealthBetween 2 groups Randomization

Diagram of Example 3^ 80 OverweightAdult Males

Low Carb/Aerobic(20)Low Fat/Pilates(20)

Compare Weight Lossof men between 4Groups Low Carb/Pilates(20)Low Fat/Aerobic(20)Randomization

Example 5^ ^ Explanatory Variables โ€“ Salinity and Nutrients^^ Treatments โ€“^ ^ Subjects โ€“ The shrimp in the 12 tanks^^ Response โ€“ Growth of the shrimp

6;^ A-High,

A-Low,B-High, B-Low,C-High, C-Low

12 Tanksof Shrimp

A โ€“ High(2)A โ€“ Low(2)B โ€“ High(2)B โ€“ Low(2)RandomizationC โ€“ High(2)C โ€“ Low(2)

Compare growthof the shrimpbetween the 6groups

^ Explanatory Variables โ€“^ Treatments โ€“ ^ Subjects โ€“^ Response โ€“

Example 6^ Explanatory โ€“^^ Explanatory โ€“ Dietary Suppliment^ ^ Treatments โ€“^^ Treatments โ€“ Glucosamine and Chondroitin^ ^ Subjects โ€“^^ Subjects โ€“ 300 Dogs^ ^ Response โ€“^^ Response โ€“ Changes in joint and hip health^ ^ Control Group?^^ Control Group? A control group would give a goodcomparison of joint and hip health in health dogscompared to dogs on the two drugs.300 Dogs

Glucosamine(100)Chondrotin(100)Nothing(100)

Compare Hip and JointHealth Between the 3Groups Randomization