STATISTICS Flashcards
the act of assigning numbers or symbols to characteristics of things according to rules
Measurement
methods used to provide concise description of a collection of quantitative information
Descriptive Statistics
method used to make inferences from observations of a small group of people known as sample to a larger group of individuals known as population
Inferential Statistics
the property of “moreness”
Magnitude
the difference between two points at any place on the scale has the same meaning as the difference between two other points that differ by the same number of scale units
Equal Intervals
when nothing of the property being measured exists
Absolute 0
a set of numbers who properties model empirical properties of the objects to which the numbers are assigned
Scale
takes on any value within the range and the possible value within that range is infinite
- used to measure a variable which can theoretically be divided
Continuous Scale
can be counted; has distinct, countable values
- used to measure a variable which cannot be theoretically be divided
Discrete Scale
refers to the collective influence of all the factors on a test score or measurement beyond those specifically measured by the test or measurement
Degree to which the test score/measurement may be wrong, considering other factors like state of the testtaker, venue, test itself etc.
Measurement with continuous scale always involve with error
Error
involve classification or categorization based on one or more distinguishing characteristics
- Label and categorize observations but do not make any quantitative distinctions between observations
- mode
Nominal
rank ordering on some characteristics is also permissible
- median
Ordinal
- contains equal intervals, has no absolute zero point (even negative values have interpretation to it)
- Zero value does not mean it represents non
Interval
- has true zero point (if the score is zero, it means none/null)
- Easiest to manipulate
Ratio
– defined as a set of test scores arrayed for recording or study
Distribution
– straightforward, unmodified accounting of performance that is usually numerical
Raw Scores
– all scores are listed alongside the number of times each score occurred
Frequency Distribution
– being manipulated in the study
Independent Variable
nonmanipulated variable to designate groups
Factor: for ANOVA
Quasi-Independent Variable
– used in ANOVA to determine which mean differences are significantly different
Post-Hoc Tests
allows the compute a single value that determines the minimum difference between treatment means that is necessary for significance
Tukey’s HSD test
statistics that indicates the average or midmost score between the extreme scores in a distribution
Goal: Identify the most typical or representative of entire group
Measures of Central Tendency
– the average of all the raw scores
- Equal to the sum of the observations divided by the number of observations
- Interval and ratio data (when normal distribution)
- Point of least squares
- Balance point for the distribution
Mean
– the middle score of the distribution
- Ordinal, Interval, Ratio
- Useful in cases where relatively few scores fall at the high end of the distribution or relatively few scores fall at the low end of the distribution
- In other words, for extreme scores, use median (skewed)
- Identical for sample and population
- Also used when there has an unknown or undetermined score
- Used in “open-ended” categories (e.g., 5 or more, more than 8, at least 10)
- For ordinal data
Median
– most frequently occurring score in the distribution
Mode