AP Stats - unit 4

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Description and Tags

37 Terms

1

Observational study

observe outcomes without imposing any treatment

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2

Experiment

Actively impose some treatment in order to observe the response

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3

Experimental unit

the single individual (person, animal, plant, etc.) to which the different treatments are assigned

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4

Factor

is the explanatory/independent variable that you change

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5

Level

a specific value for the factor

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6

Response variable

what you measure

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7

Treatment

a specific experimental condition applied to the units

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8

Control group

 a group that is used to compare the factor against; can be a placebo or the “old” or current item

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9

Placebo

a “dummy” treatment that can have no physical effect

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10

blinding

method used so that units do not know which treatment they are getting

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11

double blind

neither the units nor the evaluator know which treatment a subject received

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12

Principles of Experimental Design


  • Control of effects of extraneous variables on the response – by comparing treatment groups to a control group (placebo or “old”)

  • Replication of the experiment on many subjects to quantify the natural variation in the experiment

  • Randomization – the use of chance to assign subjects to treatments

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13

How do you show cause-and-effect

The ONLY way to show cause & effect is with a well-designed, well-controlled experiment!!!


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14

Completely randomized –

  • Experimental design

  • all experimental units are allocated at random among all treatments

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15

Randomized block

  • units are blocked into groups (homogeneous) and then randomly assigned to treatments 

  • Experimental design

Based on characteristics that may affect results, not the treatments themselves

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16

Matched pairs

  •  a special type of block design

  • Experimental design

  • match up experimental units according to similar characteristics & randomly assign on to one treatment & the other automatically gets the 2nd treatment

  • have each unit do both treatments in random order

  • the assignment of treatments is dependent

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17

Confounding variable

the effect of the confounding variable on the response cannot be separated from the effects of the explanatory variable (factor)

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18

How do we gather data?


  • Surveys 

  • Opinion polls

  • Interviews

  • Studies

    • Observational

    • Retrospective (past)

    • Prospective (future)

  • Experiments

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19

Population

  • the entire group of individuals that we want information about

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20

Census

  • a complete count of the population

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21

Sample

  • A part of the population that we actually examine in order to gather information

  • Use sample to generalize to population

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22

Sampling design


  • refers to the method used to choose the sample from the population

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23

Sampling frame

  • a list of every individual in the population

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24

Simple Random Sample (SRS)


  • Sampling design

  • consist of n individuals from the population chosen in such a way that

    • every individual has an equal chance of being selected

every set (group) of n individuals has an equal chance of being selected

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25

Stratified random sample


  • Sampling design

  • population is divided into homogeneous groups called strata

  • SRS’s are pulled from each strata

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26

Systematic random sample


  • Sampling design

  • select sample by following a systematic approach

  • randomly select where to begin

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27

Cluster Sample

  • Sampling design

  • based upon location

randomly pick a location & sample all there

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28

Multistage sample


  • Sampling design

  • select successively smaller groups within the population in stages

  • SRS used at each stage

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29

Random digit table


  • Each entry is equally likely to be any of the 10 digits

  • digits are independent of each other

  • Numbers can be read across, diaganolly, vertically

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30

Bias

  • A systematic error in  measuring the estimate

  • favors certain outcomes

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31

Sources of Bias


  • things that can cause bias in your sample

  • cannot do anything with bad data

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32

Voluntary response


  • People chose to respond 

  • Usually only people with very strong opinions respond

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33

Convenience sampling


  • Ask people who are easy to ask

  • Produces bias results

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34

Undercoverage

  • some groups of population are left out of the sampling process

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35

Nonresponse


  • occurs when an individual chosen for the sample can’t be contacted or refuses to cooperate

  • telephone surveys 70% nonresponse

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36

Response bias

  • occurs when the behavior of respondent or interviewer causes  bias in the sample

  • wrong answers

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37

Wording of the Questions


  • wording can influence the answers that are given

  • connotation of words

  • use of “big” words or technical words

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