Statistics: Ch 3

design study

one that employs a systematic arrangement or pattern for collecting data

observational unit

entities on which measurements or observations can be made.

sampling units

observational units are often selected from a larger population of such units

target population

A collection of sampling units about which we want to draw conclusions.

sampling frame

A list of all sampling units in the target population.

sample

A subset of the target population from which observations are actually obtained, and from which conclusions about the target population will be drawn

undercoverage

The sampling frame may not include some elements of the target population

overcoverage

The sampling frame may include some elements that are not members of the target population

sampling design

a pattern, arrangement or method used for selecting a sample of sampling units from the target population

sampling plan

the operational plan, including the sampling design, for actually obtaining or accessing the sampling units for the study

sampling error

Error inherent in the sampling process

non-sampling error

These are really errors

selection bias

a systematic tendency on the part of the sampling method to underrepresent or exclude one or more kinds of the sampling units from the sample

bias

a distortion of the results of a statistical procedure

probability sampling

a method of choosing a sample using a pre-specified chance mechanism

simple random sampling

Each potential sample has the same chance of being chosen

stratified random sampling

Sampling units are divided into distinct strata, and a simple random sample are taken from each stratum

cluster sampling

Units in close proximity are grouped in clusters, and clusters are sampled

multistage sampling

many samples are taken in stages

experimental unit

a sampling unit selected for use in a controlled experiment

response

a measurement or observation of interest that is made on an experimental unit

effect

The change in the average response between two factor levels or between two combinations of factor levels.

factor

A quantity that is thought to influence the response

experimental factor

A factor that is purposely varied by the experimenter

nuisance factor

A factor that cannot be controlled by the experimenter

level

a value assumed by a factor in an experiment.

treatments

The combinations of levels of experimental factors for which the response will be observed.

experiment

a study in which some treatments are deliberately imposed on the experimental units in order to observe the effect

completely randomized design

Treatments assigned to experimental units completely at random

randomized complete block design

Experimental units grouped into blocks and all treatments are assigned at random within each block

causality

to show that changing the treatment will cause a change in the response

randomized controlled experiments

Controlled experiments in which treatments are assigned at random to experimental units

observational study

a designed study which observes individuals and measures variables of interest but does not attempt to influence the responses

cohort studies (aka prospective)

treatment" and "control" groups are established based on the hypothesized cause

case-referent studies (aka retrospective)

groups are formed based on the response (i.e., effect)

sampling surveys

use a sample of sampling units obtained from a population to obtain information about the whole population

frequency histogram

shows static pattern of variation of a data

time series plot (line plot)

shows pattern of variation evolving over time

data

Facts that convey information from which conclusions can be drawn

statistics

a science that deals with the collection, organization, analysis, interpretation, and presentation of data to come up with meaningful information