問題一覧
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collective influence of all of the factors on a test score or measurement beyond those specifically measured by the test or measurement.
erroe
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z-score
zero plus or minus one scale
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being the first to refer to the curve as the normal curve
karl pearson
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statistics that describe the amount of variation in a distribution
measures of variability
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all scores are listed alongside the number of times each score occurred.
frequency distributions
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bell-shaped, smooth, mathematically defined curve that is highest at its center. ● the mean, the median, and the mode all have the same exact value.
normal curve
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standard score obtained that retains a direct numerical relationship to the original raw score.
linear transformation
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may be required when the data under consideration are not normally distributed yet comparisons with normal distributions need to be made.
nonlinear transformation
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somewhere in the middle
mesokurtic
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meaning of X
test score
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sum
E
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results from the conversion of a raw score into a number indicating how many standard deviation units the raw score is below or above the mean of the distribution.
z-score
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t score
fifty plus or minus ten scale
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have categories with a clear and uncontroversial order ● measurements in which people are ranked (0-100)
ordinal scales
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equal to the interquartile range divided by 2.
semi-interquartile range
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relatively few of the scores fall at the high end of the distribution.
positive skew
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indicate that individual scores have been used and the data have not been grouped.
simple frequency distribution
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graph with vertical lines drawn at the true limits of each test score (or class interval), forming a series of contiguous rectangles. - X-axis (abscissa) - test scores to be placed (single scores or the midpoints of the class intervals) ● Y-axis (ordinate) - numbers indicative of the frequency of occurrence
histogram
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act of assigning numbers or symbols to characteristics of things (people, events, whatever) according to rules
measurement
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equal to the arithmetic mean of the squares of the differences between the scores in a distribution and their mean.
variance
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a number that provides us with an index of the strength of the relationship between two things. ● expresses a linear relationship between two (and only two) variables, usually continuous in nature.
coefficient of correlation
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frequently used when the sample size is small (fewer than 30 pairs of measurements) and especially when both sets of measurements are in ordinal (or rank-order) form.
spearman rho
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a deviation about a mean of a distribution
moment
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the dividing points between the four quarters in the distribution are the, refers to a specific point
quartiles
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"the sum of"
summation notation
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relatively peaked
leptokurtic
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composed of a scale that ranges from 5 standard deviations below the mean to 5 standard deviations above the mean.
T score
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, when one variable increases while the other variable decreases.
negative correlation
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expressed by a continuous line connecting the points where test scores or class intervals (X-axis) meet frequencies (Y-axis).
frequency polygon
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simplest form of measurement ● involve classification or categorization, where all things measured must be placed into mutually exclusive and exhaustive categories.
nominal scales
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value indicating how much variance is shared by two variables (X and Y) being calculated
coefficient of determination
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takes into account the actual numerical value of every score.
mean
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a straightforward, unmodified accounting of performance that is usually numerical.
raw score
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the values can be any real number in the scale’s sample space.
continuous scale
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values indicate a distribution with a rounded peak and thinner tails.
Lower kurtosis
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statistic used to express the strength of the relationship or the magnitude of the differences in data
effect size
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best to round continuous scales
true
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has a true zero point, which indicates the absence of the thing being measured
ratio scales
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absence of a quantity
absolute zero
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most commonly used measure of central tendency
mean/arithmetic mean
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is a measure of variability equal to the difference between Q3 and Q1.
interquartile range
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test-score intervals, also called class intervals, replace the actual test scores.
grouped frequency distribution
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a set of test scores arrayed for recording or study.
distribution
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statistic that indicates the average or midmost score between the extreme scores in a distribution.
measures of central tendency
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the nature and extent to which symmetry is absent. ● indication of how the measurements in a distribution are distributed.
skewness
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middle score in a distribution
median
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x-axis
abscissa
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upper limits of the distribution
highest class interval
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refers to an interval
quarter
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there are two scores that occur with the highest frequency (of two).
bimodal distribution
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relatively flat
platykurtic
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family of techniques used to statistically combine information across studies to produce single estimates (effect size) of the data under study.
meta-analysis
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“add all the test scores.”
E X
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- most frequently occurring score in a distribution of scores ● not a very commonly used measure of central tendency.
mode
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y-axis
ordinate
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, characterized by a high peak and “fatter” tails compared to a normal distribution.
High kurtosis
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steepness of a distribution in its center
kurtosis
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moments squared
second moment
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the moments cubed, and so forth
third moments
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area on the normal curve between 2 and 3 standard deviations above the mean.
tail
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statistical tool of choice when the relationship between the variables is linear and when the two variables being correlated are continuous
pearson r/pearson correlation coefficient
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meaning that it approaches, but never touches, the axis
asymptotically
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the values that a variable can take on.
sample space
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other name for normal curve
Laplace-Gaussian curve
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, normalizing a distribution involves “stretching” the skewed curve into the shape of a normal curve and creating a corresponding scale of standard scores
normalized standard score scale
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set of numbers (or other symbols) whose properties model empirical properties of the objects to which the numbers are assigned.
scale
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negative skew
examination results may indicate that the test was too easy.
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emphasized that what he tried to do with his test to classify (and rank) people.
alfred binet
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an indication of how scores in a distribution are scattered or dispersed
variability
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an instrument used to measure strength of hand grip
dynamometer
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lower limits of the distribution
lowest class interval
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individual deviations about the mean of a distribution
deviates
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another tool that could be used to describe the amount of variability in a distribution
mean absolute deviation
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, an “eyeball gauge” of how curved a graph is
curvilinearity
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equal to the difference between the highest and the lowest scores.
range
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, defined as professional practice that is based on clinical and research findings ● Methods, protocols, techniques, and procedures, used by professionals, that have a basis in clinical and research findings
evidence-based practice
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extremely atypical point located at a relatively long distance—an outlying distance—from the rest of the coordinate points in a scatterplot
outlier
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a diagram or chart composed of lines, points, bars, or other symbols that describe and illustrate data.
graph
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ameasureofvariabilityequalto the square root of the average squared deviations about the mean. ● equal to the square root of the variance
standard deviation
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quarter-points in a distribution of scores.
Q1, Q3
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a raw score that has been converted from one scale to another scale, where the latter scale has some arbitrarily set mean and standard deviation.
standard scores
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a term that was a contraction of the words standard and nine. ● a standard score with a mean of 5 and a standard deviation of approximately 2, divided into nine units
stanine
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meaningful distances between numbers, each unit on the scale is exactly equal to any other unit on the scale. ● possible to add and subtract scores, which allows for calculating means and standard deviations
interval scales
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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
bar graph
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if a correlation is zero, then absolutely no relationship exists between the two variables
perfect noncorrelation
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simple graphing of the coordinate points for values of the X-variable (placed along the graph’s horizontal axis) and the Y-variable (placed along the graph’s vertical axis). ● they provide a quick indication of the direction and magnitude of the relationship, if any, between the two variables.
scatterplot
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most frequently used level of measurement in psychology
ordinal
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, two variables simultaneously increase or simultaneously decrease, then those two variables are said to be
positively correlated
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one graphic representation of data of particular interest to measurement professionals
normal curve
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expression of the degree and direction of correspondence between two things.
correlation
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has a sample space that can be counted.
discrete scale