deck_7806227 Flashcards
Variable (Definition)
a characteristic that can vary in value among subjects in a sample or population.
Categorical Variable (Qualitative)
scale for measurement is a set of categories.Examples:Racial-ethnic group (white, black, Hispanic)Political party identification (Dem., Repub., Indep.)Vegetarian? (yes, no)Happiness (very happy, pretty happy, not too happy)GenderReligious affiliationMajor
Nominal Scale
A type of Categorical Variable with unordered categories.Examples:Preference for President, Race, Gender,Religious affiliation, MajorOpinion items (favor vs. oppose, yes vs. no)
Ordinal Scale
A type of Categorical Variable with ordered categories.Examples:Political ideology (very liberal, liberal,moderate, conservative, very conservative)Anxiety, stress, self esteem (high, medium, low)Mental impairment (none, mild, moderate, severe)Government spending on environment (up, same,down)
Quantitative Variable (Definition)
A set of possible values is called an interval scale (i.e. numerical interval between each possible pair of values) The difference between values are consistent:-Moving from $20,000 to $21,000 is the samemagnitude as moving from $50,000 to $51,000-Moving from 90 degrees F to 95 degrees F is thesame as moving from 70 to 75
Skewed Distribution (Describe)
Mean is drawn in direction of longer tail, relative to the median.
The following is an example of: e.g., Grades A,B,C,D,E an ordinal scale, buttreated as interval if assign scores 4,3,2,1,0 toconstruct a GPA)
Note: In practice, ordinal categorical variables oftentreated as interval by assigning scores
What is Descriptive Statistics?
- Describing data with tables and graphs(quantitative or categorical variables)2. Numerical descriptions of center(mean/median) and variability (standarddeviation/ variance) (quantitative variables)
Frequency distribution
Lists possible values of variable and number of times each occurs. = 60)Ex. Student survey (n “political ideology” measured as ordinal variablewith 1 = very liberal, …, 4 = moderate, …, 7 =very conservative
Histogram
Bar graph of frequencies or percentages.
Bell-shaped Histogram