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Sample
small subset of the population we collect information from with the goal of making projections about what will be true for the entire target audience
Target Population
A collection of individuals/objects/firms that possess the information about which a researcher wishes to make inferences. All members from target population can be surveyed or interviewed but we don’t have infinite resources
Sampling Frame
A population members from which a sample will be actually drawn – Geographic areas, institutions etc.
Probability Samples
Simple Random, Stratified Random, Cluster
Simple Random Sample
Each possible unit has an equal chance of being picked in the sample, useful when entire sampling frame is easily available and accessible, ensures general view of the population
Stratified Random Sample
Divides population into subgroups based on some attribute, useful when subgroups are homogeneous
Cluster Sample
Divide the population into subgroups based on some attribute, useful when subgroups are heterogeneous
Non Probability Sample
Convenience, Judgment, Snowball
Convenience Sample
The sample is selected based on the unit being present at the right place and at the right time.
Judgment Sample
Sample elements are hired by the researcher because they believe that these elements can handle the tasks in the research.
Snowball Sample
A type of judgment sample where a person is chosen by the researcher, and that subject helps identify others with similar characteristics.
Criteria for selecting sample size
degree of homogeneity, precision, and confidence
Degree of homogeneity
If all the people in the population are similar, smaller sample can be sufficient, If large heterogeneity in the population, then larger sample is required.
Precision
How close does the estimate need to be to true population value?, You don’t know the real average of income of the population, You are estimating the average income for the population using a sample.
Confidence
What is the degree of certainty with which we can claim that the population value falls in aprecision range? You select a degree of precision required (Within +/- $1000, +/- $100 or +/- $10 of the average population income) Given your sample size, you can be confident to a certain degree your selected degree of precision.
True
T/F for the selected precision range, if more confidence is required, the sample size must get larger.
Types of Errors
Sampling, Non-coverage, Non-Response, Response
Non-Coverage Error
Errors that arise when one DOES NOT include an individual even though that person is eligible to be part of a sampling frame
Non-Response Error
Occurs when we FAIL to get a response from an individual who is part of the population and was selected to be in the sample
Response Error
Occurs when an individual provides a response to an item, but the response is inaccurate
Solution to Poorly written/designed questions
Pre-test, follow rules of questionnaire design to ensure smooth flow of the survey
Response rates
serves as an indicator of the overall quality of a data collection effort
Poor questions, lack of interest, failure to gain attention
Very low response rates may indicate
Response Rate
total valid responses/total respondents
Editing Data
Manually inspecting received forms is necessary- Cases with incomplete answers Wrong answers Answers that reflect a lack of interest
Data Cleaning
Errors can be introduced by sloppy editing and data entry • Examine frequency distributions on all variables • Check a sample of questionnaires against the data file (audit) • Enter data into two separate files and then compare for discrepancies (preferred)
Handling Missing Data
With online surveys, you can force the respondent to complete an answer before they can submit the survey. It’s important that your survey has minimum amount of missing data – design the questions carefully
Frequency Tables
Tables representing frequency analysis - Count of number of cases belonging to a particular category
Histogram
a chart used to show frequency of the occurrence of values in a data set. Values are grouped into bins
Pivot Tables
A table of grouped values that aggregates the individual items of a more extensive table within one or more discrete categories ( Excel’s version of frequency table)
Bar Graph
values are represented by height of a rectangle of equal width
Pie Chart
Circular graphic divided into slices and used to represent proportions
Convenience Sample
A type of sampling procedure in which sample is selected based on the unit being present at the right place at the right time
Non Response error occurs when
We fail to acquire response from individuals who are selected to be in the sample
Reject the null hypothesis because the absolute value of -4.5 is 4.5 and that is larger than 1.96
In our analysis using a sample, we get a calculated T value of -4.5. We need to decide if we reject the null hypothesis or fail to reject the nul hypothesis at 95% condience. Which is true
83 ± Sampling Error
To answer the question of how much soda is consumed by an average high school kid in a week, we collected a random sample of 1000 high school kids and asked them about their soda consumption habits. The average soda consumers are calculated to be 83 fl Oz. The true population value is calculated as
True
T/F Higher standard deviation suggests that values are spread away from the mean
False
T/F A paired sample T-test is used to compare differences in average of two different groups (men v. women)
Chi Squared Test
Used to test if categorical variables are related to each other
Two Sample T Test
Used to compare two groups to test if their averages are the same or different (men v. women)
Paired Sample T Test
Used to test if difference between two sets of observations for the same individual is zero (ex. test 1 and test 2 scores comparison)