Statistics
A set of mathematical procedures for organizing, summarizing and interpreting information
Population
is the set of all the individuals of interest in a particular study.
Sample
is a set of individuals selected from a population, usually intended to represent the population in a research study.
Variable
is a characteristic or condition that changes or has different values for different individuals.
Data
are measurements or observations.
Data Set
set is a collection of measurements or observations.
Datum
is a single measurement or observation and is commonly called a score or raw score.
Parameter
parameter is a value, usually a numerical value, that describes a population.
Statistic
is a value, usually a numerical value, that describes a sample
Descriptive statistics
Statistical procedures used to summarize, organize, and simplify data
Inferential statistics
Techniques that allow us to study samples and then make generalizations about the populations from which they were selected
Sampling error
Naturally occurring discrepancy, or error, that exists between a sample statistic and the corresponding population parameter
The Correlational Method
Observes two different variables to determine whether there is a relationship between them
Example: Height and Weight
Correlation
When the data consist of numerical scores, the relationship between the two variables is usually measured and described using a statistic called what?
chi-square test
If the measurement process simply classifies individuals into categories that do not correspond to numerical values, what is used?
The Experimental Method
The goal of this study is to demonstrate a cause-and-effect relationship.
Participant Variables
such as age, gender, and intelligence that vary from one individual to another
Environmental Variables
such as lighting, time of day, and weather conditions
Four types of measurement scales
Nominal, Ordinal, Interval, Ratio
Nominal
-Assigns names to variables based on a particular attribute
-Divides data into discrete categories
-No quantitative meaning
Ex: Gender as a variable
-Divided into discrete categories (male and female)
-There is no quantitative meaning...
Ordinal
Has quantifiable meaning
Intervals between values not assumed to be equal
Example: Likert Scales
UNI Teacher Evaluations:
"Does the instructor show interest . . ."
Never
Seldom
Frequently
Always
Has quantifiable meaning
-"Never" is less than "seldom"
-Val
Interval
1. Has quantifiable meaning
Intervals between values are assumed to be equal
2. Zero point does not assume the absence of a value
3.Values do not originate from zero
4. Values cannot be expressed as multiples or fractions
Example: Temperature (Fahrenheit
Ratio
1. Has quantifiable meaning
2. Intervals between values are assumed to be equal
3. Zero point assumes the absence of a value
4. Values originate from zero
5. Values can be expressed as multiples or fractions
6. Has quantifiable meaning
7. Intervals betwee
N=
number for population
n=
number for sample