Descriptive Statistics Flashcards
What are the levels of measurement from lowest to highest in terms of value?
- Nominal
- Ordinal
- Interval
- Ratio
What is the Nominal scale of measurement?
- Measure of identity or category
- Useful for quantifying qualitative data
- Does not provide order or magnitude
What is the Ordinal scale of measurement?
- A measure of order or rank
- Used to arrange data in series
- Does not provide info regarding magnitude of difference between ranks
What is the Interval scale of measurement?
- Measure of order and quantity
- Differences between values can be calculated
- Cannot establish an ‘x-fold’ increase between values
What is the Ratio scale of measurement?
- Interval scale with absolute zero, ‘x-fold’ differences can be calculated
- Subsumes all other levels of measurement
What are the SI Units for Distance, Mass, Time, Temperature, Mole, Current and Luminance?
- Metres
- Kilograms
- Seconds
- Kelvin
- Moles
- Amperes
- Candela
What is a discrete variable?
- Cannot be sub-divided
- Used to describe specific and distinct points on a scale
- E.g. Sex, RPE, Heart Rate
What is a continuous variable?
- Can theoretically take any value between two points on a continuum, e.g. Time
What are the three indicators of central tendency?
- Mode
- Median
- Mean
What are the disadvantages of using the Mode?
- Terminal statistic (can’t do anything else with the info)
- A given sub-group could make this measure unrepresentative
What are the advantages of using the Mode?
- Quick and Easy
- Unaffected by Extreme Scores
- Can be used at any level of measurement
What is the Mode?
the most frequently occurring score
What is the Median?
The middle score
What are the advantages of using the Median?
- Unaffected by extreme scores
- Can be used on all levels except nominal
What are the disadvantages of using the Median?
- Only considers order, value ignored
What are the different types of mean?
- Arithmetic Average
- Harmonic Mean
- Geometric Mean
- F Mean
- Truncated Mean
- Power Mean
- Weighted Arithmetic Mean
What are the advantages of using the Mean?
- Very sensitive measure
- Takes into account all the available information
- Can be combined with means of other groups to give the overall mean
What are the disadvantages of using the Mean?
- Very sensitive Measure
- Can only be used on interval ratio data
- Can only be used when scores are symmetrical above and below the mean
What are the Characteristics of a Normal Distribution Curve?
- Naturally Occurring
- Asymptotic
- Symmetrical
- Point of Inflection is 1 SD away from mean
What is the consequence of ND curves being symmetrical?
- All measures of central tendency will be in the same place (the peak)
What is the area inside both points of inflection of an ND curve?
68.26% of the population
What is a Z-score?
The number of standard deviations from the mean. Allows comparison of raw score to group score
What is the study of SD size?
Kurtosis
What is a leptokurtic curve?
A steep curve
What is a mesokurtic curve?
an average curve
What is a platykurtic curve?
a flat/non-steep curve
What is it called when you have a non-ND curve that has a peak further to the right?
A negative skew
What is the mode of a negatively skewed non ND curve?
The Peak
What is the median of a negative or positive skewed non ND curve?
Halfway point of the long tail
What is the mean of a negative or positive skewed non ND curve?
slightly more central than the peak (more left than a right peak, more right than a left peak)
What is it called when you have a non-ND curve with the peak further to the left?
Positive Skew
Why is distribution important?
- Determines which measure of central tend. to use
- Determines which measure of variabiltiy to use
- Provides Z-score for standardised comparisons
- Determines further stat. analysis
What are the different measures of variability?
- Standard Deviation
- Standard Error of the Mean
- Range
- 0-100th PErcentile
- Interquartile Range
- Normalised Confidence Intervals
What measure of variability gives ‘within subject variance’ rather than ‘between subject variance’?
Normalised Confidence Intervals