Epi - Exam 3 Flashcards
What are the 3 statistical perspectives that can be taken by the researcher?
Statistical-Perspectives
- Superiority
- Noninferiority
- Equivalency
What are the 3 primary levels or groupings of variables (data)?
Variables - Primary Levels
- Levels:
- Nominal
- Ordinal
- Interval or Ratio
- ALL statistical tests are selected based on level of data being compared.
What are the 3 key attributes of data that define their level or grouping, and how are they assessed?
Variables - Key Attributes
- Attributes:
- Order/Magnitude
- Consistency of scale / equal distances
- Rational absolute zero
- Each attribute is assessed with a “Yes” or “No,” ‘does the variable have it?’
What is a nominal variable?
Variables - Nominal
- Dichotomous/binary; non-ranked; non-ordered; Named categories.
- No - order or magnitude.
- No - consistency of scale or equal distances (discrete).
- Nominal variables are simply labeled-variables without quantitative characteristics (or dichotomous/binary).
- ALL DICHOTOMOUS VARIABLES ARE NOMINAL.
- INCLUDES CATEGORICAL VARIABLES DESPITE NUMBER OF CATEGORIES.
What is an ordinal variable?
Variables - Ordinal
-
Ordered, rank-able categories, non-equal distance.
- Yes - order of magnitude.
- No - consistency of scale or equal distances (discrete).
- PAIN SCALE WILL ALWAYS BE ORDINAL ON EXAM.
What is an interval/ratio variable?
Variables - Interval/Ratio
- Order, magnitude, and equal distances (units).
- Interval = arbitrary zero value (0 doesn’t mean absence)
- Ratio = Absolute (rational) zero value (0 means absence of measurement value), i.e. physiological parameters).
- Yes - order or magnitude.
-
Yes - consistency of scale or equal distances (continuous).
- Living siblings (number) & personal age (in years).
How do the levels of data vary in specificity/detail?
Variables - Specificity/Detail of Levels
- After data is collected, we can appropriately go down in specificity/detail of data, but never up.
What are descriptive statistics?
Descriptive Statistics
- Non-comparative, simple description of various elements of the study’s data.
What are measures of central tendency.
Measures of Central Tendency
- Mode / Median / Mean
- Min / Max / Range
- Interquartile Range (IQR)
What is variance?
Measures of Central Tendency - Variance
What is standard deviation?
Measures of Central Tendency - Standard Deviation
What are the shapes of data distribution in graphical representations?
Shapes of Data Distribution
- Normally distributed
- Positively skewed
- Negatively skewed
Describe the shape of normally distributed data, in graphical representations.
Shapes of Data Distribution - Normal
- Symmetrical
- Mean/median are equal/near equal.
- Equal dispersion of curve (‘tails’) to both sides of mean.
What are parametric tests?
Stats Tests - Parametric
- Stats tests useful for normally-distributed data.
Describe the shape of positively skewed data, in graphical representations.
Shapes of Data Distribution - Positively Skewed
- Asymmetrical distribution with one ‘tail’ longer than the other.
- Mean > median = ‘positive skew’.
- “>” points right so tail points to right.
If the median differs from the mean, what does that mean for data distribution?
Shapes of Data Distribution
- The distribution is skewed.
- Mean > median = positive skew
- Mean < median = negative skew
Describe the shape of negatively skewed data, in graphical representations.
Shapes of Data Distribution - Negatively Skewed
- Asymmetrical distribution with one ‘tail’ longer than the other.
- Mean < median = negatively skewed.
- “<” points left so tail points to left.
What is skewness?
Shapes of Data Distribution - Skewness
- A measure of the asymmetry of a distribution.
- Perfectly-normal distribution = skewness of 0.
What is kurtosis?
Shapes of Data Distribution - Kurtosis
- A measure of the extent to which observations cluster around the mean.
- Kurtosis statistic:
- 0 = normal distribution.
- Positive = more cluster.
- Negative = less cluster.
What percentages coincide with standard deviation ranges?
Standard Deviation - Percentages
For proper selection of a parametric test, what are the required assumptions?
Parametric Test - Selection
- Required assumptions:
- Normally-distributed
- Equal variances
- Multiple tests available to assess for equal variances between groups.
- Levene’s test.
- Multiple tests available to assess for equal variances between groups.
- Randomly-derived & independent.
How is interval data, that is not normally-distributed, handled?
Interval Data - Not Normally-Distributed
- Use a statistical test that does not require the data to be normally-distributed (non-parametric tests), or
- Transform data to a standardized value (z-score or log transformation), hoping it will allow the data to be normally distributed.
- ALWAYS RUN DESCRIPTIVE STATISTICS & GRAPHS.
What is the null hypothesis?
Null Hypothesis (H0)
- A research perspective which states there will be no true difference between the groups being compared.
- Either accepted or not accepted, based on statistical analysis.
What is type 1 error?
Type 1 Error
- A.K.A. - alpha
- Not accepting H0 when it is actually true, and you should have accepted it!