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62 Cards in this Set

  • Front
  • Back

(1)Statistics

A field of study that measures, organizes, and interprets data

Data

Information/results

Empiracle field

Truths that are based on evidence/data

Descriptive Statistics

Involves using numbers to condense or describe a larger group of numbers

Inferential Statistics

Involves researchers drawing conclusions or making inferences about a large group of numbers based on the data from a smaller sub-group of numbers

Population

Each and every member of a defined group; impossible to deal with all at the same time

Sample

A sub-group of the population that can be mamanged

Random sample

Each and every member of the population has an equal probability of being selected for the inclusion in the sample; impossible to achieve

Parameters

Pulling numbers from the population; numerical characteristics of a population

(2) Statistics

numerical characteristics of samples

Sampling Error

the discrepancy btw a statistic and its corresponding parameter

Biased Sample

both over select and under select from certain subgroups in the population

Variable

anything that changes or varies

Quantitative

variable dealing with amount

Qualitative

variable not involving amounts

Real Limits

refers to the range of possible values for a score on a quantitative variable

Nominal Scale

-using numbers as labels or names


-no indication of value


-qualitative and nominal are the almost interchangeable

Ordinal Scale

-allows us to distinguish one thing from another


-some indication of value; more or less of something being measured


-lacks equal intervals

Interval Scale

-has a value indication/allows distinction


-equal intervals/spacing btw score values


-does not have a true zero point

Ratio Scale

-allows distinction/indication of value/equal intervals


-expresses a true zero point

S.S. Stevens

Who came up with the 4 scales of measurement?

Lord

Who argued with Stevens about the scales of measurement?

"Numbers don't know where they came from." AKA quit relying on the scale, instead use your brain to extract as much meaning from the data as possible

What was Lord's argument?

Correlational Research

type of research where the goal is to describe the degree of association btw two or more variables

Experimental Research

Research where the goal is to determine a cause and effect relationship between two variables

Surveys

type of research with a standardized list of questions

Naturalistic Observation

Research where the variables are recorded as they change in their natural habitat

Case Study

research used extensively in the medical community; defined as a highly detailed investigation of a single person

Operational Definitions

specifying in precise terms, exactly what is meant by each of the variables

Confounding/Extraneous Variables

variables other than the IV, that could potentially impact the DV

Mean

arithmetic average that finds the balance point

x̄ = ( Σ x ) / n

Formula for the mean

Interval and ratio scales

Which scales of measurement is the mean appropriate for?

Median

the middle most score; equal number of scores that fall below and above it

Ordinal Scale

Which scale of measurement is appropriate for the median?

Mode

the most often occurring score

Nominal

The mode is the only measure of central tendency that can be used for the... scale of measurement

Normal Distribution

symmetrical distribution with an asymptotic tail that is also called the bell curve; 3 measures of central tendency are all equal

Asymptotic tail

never reaches the abscissa but gets closer and closer into infinity

Normal Distribution

Distribution in which we assume fits the population because of its high frequency of occurrence

Positively Skewed Distribution

Distribution in which there is a disproportionately large numbers of low scores and a few extreme high scores

Positively Skewed Distribution

Negatively Skewed Distribution

Distribution in which there is a disproportionately large number of high scores and a few extreme low scores

Negatively Skewed Distribution

Bi-modal Distribution

A distribution in which there are 2 curves or 2 modes in the data set; 2 high frequency sets of scores

Bi-modal Distribution

Measures of Central Tendency

Mean, Median, Mode

Measures of Variability

Range, Inter Quartile Range, Variance, and Standard Deviation,

Range

the distance btw the highest and lowest scores in a distribution

(1) XH - XL =




(2) ULXH - LLXL =

Formulas for the range

Inter Quartile Range

the distance btw the 3rd and the 1st quartile

Ordinal

The range and inter quartile range are the appropriate measures of variability for the... scale of measurement

Standard Deviation

most widely used measure of variability that is the approximation of the average distance of scores from the mean


formula for population standard deviation

formula for a sample standard deviation

Variance formula

Variance

a measure of how spread out a data set is

1. Change raw scores into deviation scores (X- μ)


2. Square the Deviation Scores


3. Calculate the sum of squares [Σ (x - x̄)2]


4. Analysis of Variance


5. Take the square root of the variance

The Five steps to finding population variance

underestimate

samples tend to underestimate/overestimate the variability in the population

Z-scores

Specifies the precise location of its corresponding raw score within a distribution; the sign of the *blank* indicates whether the raw score is above or below the mean, while the absolute value of the *blank* indicates the number of standard deviations btw the raw score and the mean

Standardize

What do Z-scores do to the data?

z = (x – μ) / σ [Population]

z = (x – μ) / S [Sample]

Z-score formulas