Continuous Variables Flashcards
Descriptive statistics goals?
Check errors / outliers Describe & summarize Spread of data Appropriate analysis decision Parametric / Non-parametric
Summarizing ratio or interval data? (3)
Central tendency
Dispersion
Normal curve, Skewness, Kurtosis
Steps for inferential statistics?
Set null / alternative hypothesis
Est level of statistical significance (alpha)
Determine statistical significance (p value) of findings
Accept/reject null hypothesis
Difference between Parametric & Non-Parametric tests
Para: assume data drawn from normally distributed population (data not skewed) and have same variance on variables being measured
Non-para: No assumptions about sample characteristics regarding distribution
Describe the four types of variables
Interval: equal interval scale NO true zero
Ratio: interval scale with TRUE ZERO
Nominal: Male/female
Ordinal: Ranked data
Describe a paired design
Each individual is own control (variation is limited)
Determine non-parametric tests to use for Paired or Independent samples design
Paired: Wilcoxon signed rank test
Independent: Mann Whitney U test
Difference between Independent & Paired data?
Independent: data from different groups of people, participant in ONE GROUP, differences between groups
Paired: data from group of individuals, collected from individual at different time points/conditions, differences between time points/cond
Assumptions for Independent Samples t-test? (5)
DV: Ratio/interval
IV: two categories
Cond 1 & 2 measurements are independent
Variance of DV should not be very different
If n = <30, distribution of DV for each group should not be badly skewed
Assumptions for Paired Samples t-test? (4)
DV: ratio/interval
IV: two categories
Each measurement in cond 1 has match in cond 2
Diff score obtained by deducting measurements
What’s difference between Non-parametric to t-tests? (2)
Compares MEDIANS
Less powerful
Assumptions for non-parametric tests? (4)
Assumptions of parametric tests breached (e.g. level of measurement, normal distribution, homogeneity of variances across groups)
Unable to correct for problems with data set distribution
Assumptions for Mann-Whitney U test
Data must meet requirement that two samples are independent
Compare ranked values
Ranks assigned relative to both samples combined
When to use Mann Whitney U test?
Sample sizes small, normality questionable
Data contains outliers, distort mean values affecting comparison
Data is Ordinal
Distributions of two groups are same shape
Not too many ties in ranks of data
Differences between Sign Test and Wilcoxon Sign Ranked test?
Sign: differences between each variable, non para alt to one sample t-test
Wilcoxon: compare paired data, non para alt to paired t-test
Both used when normality cannot be assumed
Sign test count number of differences that are positive and negative