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Statistics for the Behavioral Sciences
stats ch 1-5
73
Mathematics
Undergraduate 3
09/21/2009

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Cards

Term
population
Definition
is the set of all the individuals of interest in a particular study
Term
Sample 
Definition
is a set of individuals selected from a population, usually intended to represent the population in a research study
Term
parameter
Definition

is a value, usually a numerical value, that describes a population. A paramet may be obtained from a single measurement, or it may be derived from set of measurements from a population  

 

example is a population average

Term
Statistic
Definition
Is a value, usually a numerical value, that describes a sample. A statistic may be obtained from a single measurement, or it maybe derived froma set of measurements from the sample
Term
datum
Definition

a single meaurement orobservation

 

 

also known as raw score or score

Data is pural

Term
data
Definition
Term
Descriptive statistics
Definition
are statistical procedures used to summarize, organize andsimplify data
Term
Inferential statistics
Definition
consist of techniques that allow us to study samples and then make generalizations about the population from which they were selected
Term
Sampling error
Definition
is the discrepancy, or amount of error, that exists between a sample stastic and corresponding population parameter
Term
Variable
Definition
is a characteristic or condition that changes or has different values for different individuals
Term
constant
Definition
is a characteristic or conditino that does not vary butis the same for every individual
Term
correlation method
Definition
2 variables are observe to determine whether there is a relationship between them
Term

Experimental method

 

Experimental research strategy

Definition

one specific research method that involves comparing groups of scores

 

Term
participant variables
Definition
characteristics seach as age, gender, intelligence that vary from on individual to the next
Term
Environmental variables
Definition
characteristics such as lighting, time of day, and weather conditions
Term
independent variable
Definition
is the that i can control
Term
dependent variable
Definition
the variable that is observed
Term
control condition
Definition
do not recieve the experimental treatment
Term
experimental condition
Definition
individuals that do recieve the experimental treatment
Term
Scores
Definition
are called the dependent variable
Term
quisi-independent variable
Definition
the variable that determines the group in these nonexperimental studies
Term
constructs
Definition
are internal attributes or characteristics that cannot be directly observed but are useful for describing and explaining behavior
Term
operational definition
Definition
identifies a measurement procedure for measuring an external behavior and uses the resulting measurements as a defintion and a measurement of a hypothetical construct.
Term
discrete variable
Definition
consists of separate, indivisible categories. No values can exist between two neighboring categories
Term
continuous variable
Definition
there are an infinite number of possible values that fall between any 2 observed values. A continuous variable is divisible into an infinite number of fractional parts
Term
Real limits
Definition

are boundaries of intervals for scores that are represented on a continuous number line. The real limit separating 2 adjacent scores is located exactly halfway between the scores

 

Each score has 2 real limits: Upper and lower real limits

Term
upper real limt
Definition
is at the top of the interval
Term
lower limit
Definition
is at the bottom interval
Term
nominal scale
Definition
consists of a set of categories that have different names. Measurements on a nominal scale label and catergorize observations, but do not make any quantitative distinctions between observations
Term
ordinal scale
Definition
consists of a set of categories that are organized in a n ordered sequence. Measurements on an ordinal scale rank observations in terms of size or magnitude
Term
interval scale
Definition
consists of ordered categories that are allinterals of exactly the same size.With an intervalscale, equal differences between numbers on the scale reflect equal differences in magnitude.However ratios ofmagnitudes are not meaningful
Term
ratio scale
Definition
is an interval scale with the additional feature of an absolute zero point. with a ratio scale, ratios of numbers do reflect ratios of magnitude
Term
Sigma S
Definition

summation

 

sum of the scores

Term
central tendency
Definition

is a statistical measure to determine a single score that defines the center of a distribution. The goal of central tendency is to find the single score that is most typical or most representative of the entire group

 

Mean, median, mode

Term

mean

 

 

Definition

the average

sum of the scores divided by the number of scores

 

Population m

 

Sample M,X

Term
median
Definition

is the score that divides a distribution exactly in half.

Equivalent to the 50th percentile

Term
mode
Definition

a number or numbers that appear the most

 

is often used more casually to refer to scores with relatively high frequencies

Term
bimodal
Definition
has 2 modes
Term
multimodal
Definition
the distribution has more than 2 modes
Term
major mode
Definition
largest peak
Term
minor mode
Definition
the shorter peak
Term
open-ended
Definition
when there is no upper limit or lower limit for on of the categories
Term
line gragh
Definition
Term
bar graph
Definition
Term
histogram
Definition
Term
symmetrical distribution
Definition
the right-hand side of the graph will be mirror imoage of the lefted- handed side
Term
postively skewed
Definition
Term
negatively skewed
Definition
Term

variability

 

Definition

provides a quantitative measure ofthe degree to which scores in a distribution are spread out or clustered together

usually defined by terms of distance

 

measures how well an individual score represent the entire distribution

Term
range
Definition
is the difference between the upper real limit of the largest (maxium) X value and the lower real limit of the smallest (minumum) X value.
Term
interquartile range
Definition

is the range covered by the middle 50% of the distribution

it allows you to avoid teh excessive influence of one or two extreme scores

 

Measures the variabiltiy

I.R. = Q3 - Q1

 

Term
how to measure variabity/ dispersion
Definition

Range: max - min score

 

Sum of squares: S(x-mean)2 

                     N

Variance:    √S(x-mean)2 

                     N

Term
semi-interquartile range
Definition

is half of the interquartile range

 

S-I. R= Q3-Q1

         2

Term
deviation
Definition

is the distance from the mean

 

Deviation score= X - μ

Term
population variance
Definition

= the mean squared deviation

 

Variance is the mean of the squared deviation scores

Term
standard divation
Definition
= √variance
Term
The sum of squares deviation (SS)
Definition

is the sum of the squared deviation scores

 

Variance= Mean squared deviation= sum of squared deviations

                                              number of scores

 

SS=Σ(x-μ)2

Term
Standard Deviation
Definition

= √SS

     N

Term
Variance
Definition

=SS

  N

Term
population standard deviation
Definition

σ=√σ2 =√SS

              N

Term
Population Variance
Definition

σ2=SS

     N

 

 

σ2=Σ (X-μ)2

   N

Term
Sample Variance
Definition

s2= SS

       n-1

 

s2= Σ(X-M)2

      n-1

Term
Sample Standard Devaition
Definition

s=√s2= √SS

               n-1

Term

degrees of freedom

 

 

Definition

df for sample variance are defined as df= n-1

 

the degrees fo freedom determine the number of scores in the sample that are independent and free to vary

Term
unbiased
Definition
if the average value of the sample statistc, obtained over many different samples, is equal to the population parameter
Term
baised
Definition
the average value for a sample statistic consistently underesticmates or overestimates teh corresponding population parameter
Term
error variance
Definition
to indicate that the sample variance represents unexplained and uncontrolled difference between scores
Term
open-ended
Definition
when a distribution does not have any specific boundary for the highest score or the lower score
Term
x-scores
Definition

specifies the precise location each X value withing a distribution

(+ or -) signifies whether the score is above the mean or below the mean

Specifies the distance from the mean by counting the number of standard deviation between X and μ

Term
standardized distribution
Definition

is composed of scores that have been transformed to create predetermined values for the μ and σ.

 

Standardized distribution are used to make dissimilar distributions comparable

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