Statistics Chapter 1

Population

a collection of all outcomes responses measurements or counts that are of interest

Sample

part of a population

Parameter

numerical description of a population characteristic

statistic

a numerical description of a sample characteristic

Descriptive statistics

the branch of statistics that involves the organization summarization and display of data

Inferential Statistics

the branch of statistics that involves using a sample to draw conclusions about a population. A basic tool in the study of inferential statistics is probability

Qualitative data

consists of attributes, labels, or nonnumerical entries

Quantitative data

consists of numerical measurements or counts

Nominal level of measurement

qualitative only. stat at this level are categorized using names, labels or qualities. No mathematical computations

Ordinal level of measurement

qualitative or quantitative. can be arranged in order, or ranked, but differences between data entries are not meaningful

interval level of measurement

can be ordered an meaningful differences between data entries can be calculated. At the interval level a zero entry simply represents a position on a scale. the entry is not an inherent zero (eg temperature)

ratio level of measurement

similar to data at the interval level with added property that a zero entry is an inherent zero. a ratio of two data values can be formed so that one data value can be meaningfully expressed as a multiple of another

Observational study

researcher observes and measures characteristics of interest of part of a population but does not change existing conditions

Experiment

a treatment is applies to part of a population and responses are observed. Another part of the population may be used as a control group as well as parts that are given a placebo

Simulation

the use of a mathematical or physical model to reproduce the conditions of a situation or process

Survey

an investigation of one or more characteristics of a population. most often carries out on people by asking them questions

confounding variable

occurs when an experimenter cannot tell the difference between the effects of different factors on a variable

Blinding

a technique where the subjects do no know whether they are reciving a treatment or a placebo.

Double-Blind experiment

neither the experimenter nor the subjects know if the subjects are receiving treatment or a placebo

Randomization

is a process of randomly assigning subjects to different treatment groups

Replication

is the repetition of an experiment under the same or similar conditions

Census

count or measure of an entire population

sample

part of a population

random sample

one in which every member of the population has an equal change of being selected

simple random sample

a sample in which every possible sample of the same size has the same chance of being selected

Stratified sample

when it is important for the sample to have members from each segment of the population

cluster sample

when the population falls into naturally occurring subgroups, each having similar characteristics

Systematic sample

a sample in which each member of the population is assigned a number. The members of the population are ordered in some way, a starting number is randomly selected and the sample members are selected at regular intervals from the starting point

convenience sample

consists only of available members of the population. usually bias