Social Statistics for a diverse society chapters 1-4

Research process is

a set of activities in which social scientists engage to answer questions, examine ideas, or test theories.

Five stages on the research process are:

Asking the research question Formulating the hypotheses Collecting data Analyzing Data Evaluating the hypotheses

Data:

Information represented by numbers, which can be the subject of statistical analysis

Empirical Research

Research based on evidence that can be verified by using our direct experience.-Cannot rely on reasoning, speculation, moral judgment, or subjective preference

Theory:

An elaborate explanation of the relationship between two or more observable attributes of individuals or groups

Empirical research example is...

Are women paid less than men for the same types of work?

Not Empirical research example is...

Is racial equality good for society?

The Hypothesis

Tentative answers to research questions

Variable

A property of people or objects that takes on two or more values-Must include categories that are both exhaustive and mutually exclusive

Examples of variables are...

social class, age, gender, income

Units of analysis:

the level of social life on which social scientist focus.

Examples of units of analysis are..

IndividualFamilyOrganizationCity

Dependent variable is

the variable to be explained aka the effect

Independent variable is...

the variable expected to account for (the cause of) the dependent variable

Nominal

Numbers or other symbols are assigned to a set of categories for the purpose of naming, labeling, or classifying the observations

Examples of Nominal

Political party ReligionRace

Ordinal

Nominal levels that can be ranked from low to high

Example of ordinal

social class

Interval-Ratio

All cases are express in the same unit

examples of interval- ratio

age, income, and SAT scores

Dichotomous variable is

a variable that has only two values

Cumulative Property

Variables that can be measured at the interval-ratio level of measurement can also be measured at the ordinal and nominal levels`

what is the exception to cumulative property?

Dichotomous variables

Discrete

Variables that have a minimum-sized unit of measurement which cannot be sub-divided

Example of discrete is

the number of children per family

Continuous

Variables that can theoretically can take on all possible numerical values in a given interval

example of continuous is

length

Sample

A relatively small subset selected from a population

Population

The total set of individuals, objects, groups, or events in which the researcher is interested

Descriptive statistics

Procedures that help us organize and describe data collected from either a sample or a population

Inferential statistics

The logic and procedures concerned with making predictions or inferences about a population from observations and analyses of a sample

Frequency Distribution:

A table reporting the number of observations falling into each category of the variableIn Lab you type in tabulate to get the frequency distribution

Proportions

A relative frequency obtained by dividing the frequency in each category by the total number of casesP= F/N

Percentage

A relative frequency obtained by dividing the frequency in each category by the total number of cases and multiplying by 100

Cumulative frequency distribution

A distribution showing the frequency at or below each category of the variable

Cumulative percentage distribution

A distribution showing the percentage at or below each category of the variable

Rate

A number obtained by dividing the number of actual occurrences in a given time period by the number of possible occurrences

The Pie Chart

A graph showing the differences in frequencies or percentages among categories of a nominal or an ordinal variable The categories are displayed as segments of a circle whose pieces add up to 100 % of the total frequencies

The Bar Graph

A graph showing the differences in frequencies or percentages among categories of a nominal or an ordinal variable

The Statistical Map

We can display dramatic geographical changes in American society by using a statistical map

The statistical maps are normally used for these types of data..

Population distributionVoting patternsCrimes rates

The Histogram

A graph showing the differences in frequencies or percentages among categories of an interval-ratio variable

The Line Graph

A graph showing the differences in frequencies or percentages among categories of an interval-ratio variable Points representing the frequencies of each category are placed above the midpoint of the category and are joined by a straight line

Time Series Charts

A graph displaying changes in a variables at different points in time

Age data is best displayed using this ________ graph or ________ graph

Histogram or line graph

Poverty data is best displayed using this _______ graph or _____ graph

histogram or line graph

Racial category data is best displayed using this _______ or _____ graph

pie chart or bar graph

geographic region data is best displayed using this _______ , _____ graph, or __________

pie chart, bar graph, or geographical map

The mode

the category or score with the largest frequency in the distribution

The mode can calculated for:

Nominal level variablesOrdinal level variablesInterval-ratio level variables

Median

The score that divides the distribution into two equal parts, so that half the cases are above it and half below it

Percentiles

A score below which a specific percentage of the distribution falls

For Example, the 75th percentile is a score that divides distribution so that ____ % of the cases are below it

75%

Mean

A measure of central tendency that is obtained by adding up all the scores and dividing by the total number of scores