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26 Cards in this Set

  • Front
  • Back
Response Variable
the values of a set of variables
Study Conditions
measuring the values of a set of variables under a set of conditions
Explanatory Variable
Explaining the values of a response variable
Quantitative
Levels of an explantory variable are measured on an interval/ratio scale
Qualitative
Levels of an explanatory variable are measured on a nominal/ordinal scale
Nominal
When a type of ordering or ranking of the levels of a categorical variable is not appropriate(type of animal, favorite drink....)
Ordinal
When a type of ordering or ranking of the levels of a categorical variable makes sense (pain level 1-10...)
Interval
When the difference between levels of a quantitative variable is meaningful. However, the zero point is arbitrary and not a true zero. For example, the difference between 100 degrees and 90 degrees is the same as the difference between 90 degrees and 80 degrees (temperature). However, it does not make sense to say 50 degrees is twice as hot as 25 degrees.
Ratio
Has all of the properties of of an interval scale with the added property of a fixed zero point (weights, lengths, times). 10 inches is twice as long as 5 inches. The time between 5 minutes and 10 minutes = the time between 10 minutes and 15 minutes
Observational Units/Sampling Units
The smallest units of the study material for which responses are measured.

Subjects in a drug study are smallest units

Individual plants studied are observational units

Weight collected at multiple times, observatioanl unit is subject at each weigh time

Chickens in a pen - each chicken is an observational unit
Factor
An explantory variable whose effect on the response is a primary objective
Confounding Variable
An explanatory variable whose effect has the potential to mask (or enhance) the effect of a factor

Not taking amount of light into consideration for an experiment measuring the growth of plants
Experimental Study
A study in which the investigator selects the levels of at least one factor
Experimental Factor
A factor whose levels are determined by the investigator
Observational Study
A design in which the levels of all the explanatory variables are determined as part of the observational process

Studying the effect of alcohol consumption on pregnant mothers - probably easier to simply find mothers who already drink rather than asking people to do it and classify alcohol consumption while observing
Treatment
A combination of the levels of one or more experimental factor
Experimental Unit
The smallest unit of the study material sharing a common treatment

Study with multiple weight collections - each subject is experimental unit

Chickens in a pen - the pen of chickens is the experimental unit

Plants in a pot - the pot is the experimental unit
Error Variation
Variation due to unidentified sources
Reasons for random allocation of treatments to experimental units
1. Allows observed responses to be regarded as random samples - many stats assumptions require random sample

2. Eliminates systematic biases
Replications
The number of experimental units for which responses to a particular treatment are observed

20 pens of 5 chickens - 5 replications (the pens are the experimental units and each has 5 chickens)
Blocks
Groups of experimental units sharing a common level of a confounding variable
Randomized Complete Block Design
Every treatment is applied to exactly one randomly selected experimental unit within a block
ANOVA Assumptions
1. Samples come from normal populations

2. Equal variances

3. Independent random samples from t populations
Parameter vs. Statistic
Parameter = number that describes a characteristic of population (usually known)

Statistic = a number that describes a characteristic of the sample
Contrast of sample means
Coefficients satisfy the condition that:

c1+c2+....+ct = 0
Mutually Orthogonal Contrasts
A set of k contrasts is mutually orthogonal if all the pairs in the set are mutually orthogonal

c1*d1 + c2*d2 +.....=0