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Variables & Measurement. Lesson 4. What are data?. Information from measurement datum = single observation Variables Dimensions that can take on different values IQ, height, shoe size, hair color Is not the same for all individuals being measured ~. Measuring Variables.
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Variables & Measurement Lesson 4
What are data? • Information from measurement • datum = single observation • Variables • Dimensions that can take on different values • IQ, height, shoe size, hair color • Is not the same for all individuals being measured ~
Measuring Variables • Operational definitions • Variables often abstract • Intelligence, anxiety, fitness, etc. • Need to objectively measure • Hypothesis: Salsa dancing increases fitness • Independent: Salsa dancing • Operational definition? • Dependent: fitness • Operational definition? ~
Levels of Measurement • Limits type of statistical analysis possible • Categorical variable • Discrete: only whole numbers • Frequency data • Number of instances that occur for a category • Continuous (quantitative) variable • represents magnitude • infinite number of values b/n adjacent scale values • Can be discrete: e.g., exam scores ~
Levels of Measurement: Categorical • Nominal scale • categorical • order NOT meaningful • can assign arbitrary values • Ordinal scale • Categorical + meaningful order • No info about magnitude of differences • If assign numerical value, must reflect order ~
Levels of Measurement: Quantitative • Interval scale (numbers) • Continuous or discrete • Equal intervals equal differences • Ratio scale • same characteristics as interval • Ratios of values must be meaningful for magnitude • scale must have true zero point • Most statistics: interval/ratio treated the same ~
Levels of Measurement: SPSS • Variable view tab • Formatting of variable • Measure • Nominal scale • Ordinal scale • Scale • Interval & ratio • Reminder: IV must be nominal for most statistical tests ~
Measurement Error • Discrepancy • between actual value of observation and the reported value • Sources of measurement error • Sensitivity of measuring instrument • Conscientiousness of observer • Surveys: inaccurate or untruthful • Low reliability of instrument • unsystematic variation ~
Reliability & Validity • Accurate measurement requires both • Reliability • Consistency of measurement • Criterion validity • Extent instrument actually measures what it claims to measure • Score on IQ test measures intelligence? • pulse rate a measure of fear? • Important for internal & external validity ~