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Name the Scales / Levels of Measurement (Least to Most Sophisticated)
- "1. Nominal Scale [Mode]- Simply name variable in to discreet categories and count
- 2. Ordinal Level [Median] - reflects magnitudes; you can rank variables; LIKERT Scales used for ranking
- 3. Interval Scale [Median] - reflects magnitudes; equal intervals with arbitrary zero point
- 4. Ratio Scale [Median] - reflects magnitude; equal intervals with absolute zero point"
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Abcissa
Refers to the x-axis or the values of the variable
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Arbitrary (True) Zero Point
Complete absence of the variable of interest
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Average
- "Measures of Central Tendency;
- can be the mean, the median, and the mode;
- is the one value that best represents an entire group of scores"
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Bar Graphs are the best representation of what?
- "Nominal Level/Scale
- Mode"
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Cardinal Level of Measurement
- 3. Interval Scale [Median] - reflects magnitudes; equal intervals with arbitrary zero point
- 4. Ratio Scale [Median] - reflects magnitude; equal intervals with absolute zero point
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Collection of Data
Data set or just data
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Descriptive Statistics
- are used to organize and describe the characteristics of a collection of data
- Samples or populations
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Directional Research Hypothesis
Reflects a difference between groups and the direction of the difference is specified
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Define, Formula
A set of mathematical operators that performs a particular mathematical task
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Formula: Mean
x bar equals x divided by N (the total count of items)
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Formula: Range
- r equals the highest score minus the lowest score in the distribution
- r = h - l
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Formula: Standard Deviation
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Function
A predefined formula
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Histograms best represent
- Cardinal level Scales of Measurement
- Interval Scale (median)
- Ratio Scale (median)
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Hypotheses
Educated Guess
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Inferential Statistics
- Used to make inferences from a smaller group of data to a possibly larger one
- logic & procedures for evaluating risks of inference based on samples of the population
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Levels of Measurement
Same as Scales of Measurement
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Mean Deviation
- Mean absolute Deviation
- the average of the absolute value of the deviations from the mean
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Mean or the X-Bar
- The sum of all the values in a group divided by the number ofvalues in that group
- Is sensitive to extreme scores
- Is skewed in the dierction of the extreme score and therefore you would use the median
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Measurement
The process of assigning a value or a score to the variable of interest
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Measures of Central Tendency
- the Average
- a single summary value reflecting where the bulk of the data cluster [mode, median, mean]
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The Median
- The Midpoint
- the point which one half, or 50%, of the scores fall above and one half, or 50%, fall below
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Mode
The value that occurs most frequently
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Null Hypothesis
statements of equality demonstrated by the following real-life null hypotheses taken from a variety of popular social and behavioral science journals.
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One-tailed Test
(reflecting a directional hypothesis) posits a difference in a particular direction, such as when we hypothesize that Group 1 will score higher than Group 2
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Ordinant
Refers to the y-axis or the frequency
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Parameter
a measurable characteristic of a population; typically it is the mean
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Pie charts best represent
Nominal Scale/Level (Mode)
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Population
the larger group of data that the sample is taken from; a complete set of measurements having some common observable characteristics
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Properties of Scale
- Magnitude of variable
- Equal intervals
- 1. Arbitrary Zero Point
- 2. Absolute (True) Zero Point
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Range
a collection of cells
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Research hypothesis
a definite statement that there is a relationship between variables
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Sample
the smaller group of data that is a portion, or a subset, of a population; a subset of the population
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Sampling error
a measure of how well a sample approximates the characteristics of a population
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Standard Deviation
represents the average amount of variability in a set of scores
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Statistics
describes a set of tools and techniques used for describing, organizing, and interpreting information or data; a measurable characteristic of a sample
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Symbol: sigma
find the sum of what follows
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Symbol: =/
means "is not equal to"
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Symbol: the radical
Square root sign,
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Symbol: N
population or total number of cases ; noun
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Symbol: >
means "is greater than"
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Symbol: H
represents the symbol for the first research hypotheses
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Symbol: n
sample size, noun
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Symbol: s
standard deviation
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Symbol: X
each individual score
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Symbol: X bar
the mean of all the scores
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Symmetry or Skewed distribution
Symmetry/Bell Shaped Curve = Reasonably Symmetrical
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Skewed
- - Negative skew - mean is to the left of the median
- - Positive skew - mean is to the right of the median
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Two-tailed test
(reflecting a nondirectional hypothesis) posits a difference but in no particular direction.
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reflects how scores differ from one another; also known as spread or dispersion; a measure of how different scores are from one another
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Variable
a characteristic of interest that can assume different values
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x, y variables
are used for areas of interest
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