a family of techniques used to statistically combine information across studies to produce single estimates of the data under study
Outlier
an extremely atypical point located at relatively long distance from the rest of the coordinate points in a scatterplot
curvilinearity
scatterplots reveal, eyeball gauge of how curved a graph is
scatterplot
simple graphing of the coordinate points for values of the x variable and y variable
spearman's rho
used when the sample size is small
(also called rank-order correlation coefficient and rank-difference correlation coefficient)
coefficient of determination
indication of how much variance is shared by the X and Y variables
pearson r
statistical tool of choice when the relationship between the variables is linear and when the two variables being correlated are continuous
correlation
expression of the degree and direction of correspondence between two things
correlation coefficient
number that provides us with an index of the strength of the relationship between two things
normalized standard score scale
corresponding scale of standard scores from normalizing a distribution
normalizing a distribution
sketching the skews curve into the shape of a normal curve
nonlinear transformation
used when data under consideration are not normally distributed yet comparisons with normal distributions need to be made
Linear transformation
one that retains a direct numerical relationship to the original raw score
stanine
standard score with mean of 5 and standard deviation of 2, divided into 9 units
T score
fifty plus or minus ten scale; this is a scale with the mean set at 50 and the std deviation set at 10
z score
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
standard score
raw score that has been converted from one scale to another scale, latter scale has some arbitrarily set mean and standard deviation
normal curve
bell-shaped, smooth, mathematically defined curve that is highest at its center, approaches x-axis asymptotically
platykutic/leptokurtic/mesokurtic
relatively flat/relatively peaked/somewhere in the middle
kurtosis
refers to the steepness of a distribution
negative skew
relatively few of the scores fall at the low end of the distribution
positive skew
relatively few of the scores fall at the high end of the distribution
skewness
nature and extent to which symmetry is absent
standard deviation
squaring the deviation from the mean
average deviation
like standard deviation but not squared
semi-interquartile range
interquartile range divided by 2
interquartile range
difference between Q3 and Q1
quartiles
dividing points between the four quarters in the distributions (Q1, 25, Q2, 50. Q3, 75)
range
difference between the highest and lowest scores, outliers can mess with it
measures of variability
statistics that describe the amount of variation in a distribution
variability
indication of how scores in a distribution are scattered or dispersed
bimodal distribution
two scores that occur with the highest frequency, at two ends
mode
most frequently occurring score in a distribution
median
middle score in a distribution, or in the middle of the middle two scores in a distribution
arithmetic mean
the sum of the observations divided by the number of observations, most appropriate measure for interval or ratio data when distributions are approx. normal
measures of central tendency
statistic that indicates the average or midmost score between the extreme scores in a distribution
histogram
graph with vertical lines drawn at the true limits of each test score, forming a series of contiguous rectangles
graph
diagram or chart composed of lines, points, bars, or other symbols that describe and illustrate data