Quantitative data analysis and distributions Flashcards
What is quantitative data?
Results that can be counted, usually given as numbers
What is qualitative data?
Results that are expressed as non-numerical. they may take the form of a written description of the thoughts, feeling and opinions of participants.
What are the 3 levels of measurement (quantitative data)
Nominal - Categories
Ordinal - Numerical scale, non-standardised (subjective)
Interval - Standardised scale (e.g. time)
What are descriptive statistics
A way of using numbers to describe the data that you have
Examples of descriptive statistics
Measures of central tendency (mean, median, mode)
Measures of dispersion (range, standard deviation)
Graphs
What measure of central tendency and dispersion is used for each level of measurement
Nominal - mode
Ordinal - median range
Interval - mean, S.D.
Strengths of central tendencies
Median - Not affected by extreme scores so is useful under such circumstances, appropriate for ordinal data and is easier to calculate than the mean
Mean - most sensitive, takes into account all values, representative of the data as a whole
Mode - only measure than can be used for nominal data
Strengths of measures of dispersion
Range - easy to calculate
S.D. - precise measure as takes all values into account so more representative
Weaknesses of measures of central tendency
Median - not sensitive, exact values are not reflected in the middle value
Mean - can be distorted by one extreme value so may be misrepresentative
Mode - can be very different from other measures so not representative
Weaknesses of measures of dispersion
Range - affected by extreme values as only takes into account two values so misrepresentative
S.D. - affected by one extreme value as only takes into account two values so misrepresentative
What are scattergrams used for?
Correlations
What are bar charts used for?
Usually nominal data (non continuous), there are gaps
What are histograms used for?
Continuous data (usually interval or ordinal)
What does a positively skewed distribution look like?
Ghost facing home (mode, median, mean)
What does a negatively skewed distribution look like?
Ghost facing away from home (mean, median, mode)