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Measurement Chapter 4
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50
Psychology
Undergraduate 4
02/01/2010

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Term
Measurement
Definition
the act of assigning numbers or symbols to characteristics of things (people, events, whatever) according to rules.
Term
Error
Definition
the collective influence of all of the factors on a test score or measurement beyond those specifically measured by the test or measurement.
Term
Nominal Scale
Definition
Simplest form of measurement. Involve classification or categorizatoin based on one or more distinguishing characteristics, where all things measured must be placed into mutually exclusive and exhaustive categories. E.g., male=1 female =0. Arithmetic operations that can be performed with this data include counting for the purpose of determining how many cases fall into each category and a resulting determination of proportion or percentages.
Term
Ordinal Scales
Definition
A system of measurement in which all things measured can be rank-ordered, where the rank-ordering implies nothing about exactly how much greater one ranking is than another and there is no absolute zero point on the scale; most scales in psychology and education are ordinal, 74–76 Oregon's Death with Dignity Act (ODDA), 64–65
Term
Arithmetic Mean
Definition
Also referred to simply as the mean, a measure of central tendency derived by calculating an average of all scores in a distribution.
Term
Average Deviation
Definition
A measure of variability derived by summing the absolute value of all the scores in a distribution and dividing by the total number of scores
Term
Bar Graph
Definition
A graphic illustration of data wherein numbers indicative of frequency are set on the vertical axis, categories are set on the horizontal axis, and the rectangle bars that describe the data are typically noncontiguous
Term
Bimodal Distribution
Definition
A distribution in which the central tendency consists of two scores, occurring an equal number of times, that are the most frequently occurring scores in the distribution, 82, 86 binary-choice item
Term
Distribution
Definition
In a psychometric context, a set of test scores arrayed for recording or study, 78
Term
Dynamometer
Definition
instrument for measuring mechanical force
Term
Frequency Distribution
Definition
A tabular listing of scores along with the number of times each score occurred, 78
Term
frequency polygon
Definition
A graphic illustration of data wherein numbers indicating frequency are set on the vertical axis, test scores or categories are set on the horizontal axis, and the data are described by a continuous line connecting the points where the test scores or categories meet frequencies, 80–81 frequency recording
Term
graph
Definition
A diagram or chart composed of lines, points, bars, or other symbols that describe and illustrate data, 80–81
Term
grouped frequency distribution
Definition
Also referred to as class intervals, a tabular summary of test scores in which the test scores are grouped by intervals
Term
histogram
Definition
A graph with vertical lines drawn at the true limits of each test score (or class interval), forming a series of contiguous rectangles, 80–81
Term
interquartile range
Definition
An ordinal statistic of variability equal to the difference between the third and first quartile points in a distribution that has been divided into quartiles, 88
Term
interval scale
Definition
A system of measurement in which all things measured can be rank-ordered into equal intervals, where every unit on the scale is equal to every other and there is no absolute zero point (which precludes mathematical operations on such data), 75–76
Term
kurtosis
Definition
An indication of the nature of the steepness (peaked versus flat) of the center of a distribution
Term
leptokurtic
Definition
A description of the kurtosis of a distribution that is relatively peaked in its center
Term
linear transformation
Definition
In psychometrics, a process of changing a score such that (a) the new score has a direct numerical relationship to the original score and (b) the magnitude of the difference between the new score and other scores on the scale parallels the magnitude of differences between the original score and the other scores on the scales from which it was derived; contrast with nonlinear transformation, 98–99
Term
mean
Definition
Also called the arithmetic mean, a measure of central tendency derived by calculating an average of all scores in a distribution, 80, 84, 86
Term
measure of central tendency
Definition
tendency One of three statistics indicating the average or middlemost score between the extreme scores in a distribution; the mean is a measure of central tendency and a statistic at the ratio level of measurement, the median is a measure of central tendency that takes into account the order of scores and is ordinal in nature, and the mode is a measure of central tendency that is nominal in nature
Term
measure of variability
Definition
A statistic indicating how scores in a distribution are scattered or dispersed; range, standard deviation, and variance are common measures of variability, 87 average deviation, 88–89 interquartile and semi-interquartile ranges
Term
median
Definition
A measure of central tendency derived by identifying the middlemost score in a distribution
Term
mesokurtic
Definition
A description of the kurtosis of a distribution that is neither extremely peaked nor flat in its center
Term
mode
Definition
A measure of central tendency derived by identifying the most frequently occurring score in a distribution
Term
negative skew
Definition
A curve or distribution of scores that has extreme scores below the mean that are atypical of the majority of scores.
Term
nominal scale
Definition
A system of measurement in which all things measured are classified or categorized based on one or more distinguishing characteristics and placed into mutually exclusive and exhaustive categories, 74, 76
Term
nonlinear transformation
Definition
transformation In psychometrics, a process of changing a score such that (a) the new score does not necessarily have a direct numerical relationship to the original score and (b) the magnitude of the differences between the new score and the other scores on the scale may not parallel the magnitude of differences between the original score and the other scores on the scales from which the original score was derived
Term
normal curve
Definition
A bell-shaped, smooth, mathematically defined curve highest at the center and gradually tapered on both sides, approaching but never actually touching the horizontal axis
Term
normalized standard score scale
Definition
Conceptually, the end product of "stretching" a skewed distribution into the shape of a normal curve, usually through nonlinear transformation
Term
normalizing a distribution
Definition
A statistical correction applied to distributions meeting certain criteria for the purpose of approximating a normal distribution, thus making the data more readily comprehensible or manipulable, 99
Term
ordinal scale
Definition
A system of measurement in which all things measured can be rank-ordered, where the rank-ordering implies nothing about exactly how much greater one ranking is than another and there is no absolute zero point on the scale; most scales in psychology and education are ordinal, 74–76
Term
platykurtic
Definition
A description of the kurtosis of a distribution that is relatively flat in its center, 92
Term
positive skew
Definition
A curve or distribution of scores that has extreme scores above the mean that are atypical of the majority of scores
Term
quartile
Definition
One of three dividing points between the four quarters of a distribution, each typically labeled Q1, Q2, or Q3,
Term
range
Definition
A descriptive statistic of variability derived by calculating the difference between the highest and lowest scores in a distribution, 87
Term
ratio scale
Definition
A system of measurement in which all things measured can be rank-ordered, the rank ordering does imply something about exactly how much greater one ranking is than another, equal intervals exist between each number on the scale, and all mathematical operations can be performed meaningfully because a true or absolute zero point exists; few scales in psychology or education are ratio scales, 76–77
Term
raw score
Definition
A straightforward, unmodified accounting of performance, usually numerical and typically used for evaluation or diagnosis, 78 RCRAS. See Rogers Criminal Responsibility Assessment Scale reacculturation, 490
Term
scale
Definition
(1) A system of ordered numerical or verbal descriptors, usually occurring at fixed intervals, used as a reference standard in measurement; (2) a set of numbers or other symbols whose properties model empirical properties of the objects or traits to which numbers or other symbols are assigned, 72
Term
semi-interquartile range
Definition
range A measure of variability equal to the interquartile range divided by 2, 88
Term
skewness
Definition
An indication of the nature and extent to which symmetry is absent in a distribution; a distribution is said to be skewed positively when relatively few scores fall at the positive end and skewed negatively when relatively few scores fall at the negative end, 91–92
Term
standard deviation
Definition
A measure of variability equal to the square root of the averaged squared deviations about the mean; a measure of variability equal to the square root of the variance, 89–91
Term
standard score
Definition
A raw score that has been converted from one scale into another, where the latter scale (1) has some arbitrarily set mean and standard deviation and (2) is more widely used and readily interpretable; examples of standard scores are z scores and T scores, 96
Term
stanine
Definition
A standard score derived from a scale with a mean of 5 and a standard deviation of approximately 2, 98–99
Term
T score
Definition
A standard score derived from a scale with a mean of 5 and a standard deviation of approximately 2, 98–99
Term
tail
Definition
The area on the normal curve between 2 and 3 standard deviations above the mean, and the area on the normal curve between –2 and –3 standard deviations below the mean; a normal curve has two tails, 93
Term
variability
Definition
An indication of how scores in a distribution are scattered or dispersed, 87
Term
variance
Definition
A measure of variability equal to the arithmetic mean of the squares of the differences between the scores in a distribution and their mean, 89–90
Term
z score
Definition
A standard score derived by calculating the difference between a particular raw score and the mean and then dividing by the standard deviation; a z score expresses a score in terms of the number of standard deviation units that the raw score is below or above the mean of the distribution, 96–97, 100,
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