# Interpreting Frequency Tables Constructing Categories.

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Interpreting Frequency Tables Constructing Categories

Frequency tables include: A reorganization of raw data. A frequency count of observations for each value in the data set or for groups of observations (categories) Usually the percentage of observations in each category The number of total observations in the table.

Categories are determined by the researcher. Methods for choosing categories can include: Based on how previous researchers have organized categories for this variable or on existing theories. By visually scanning computer print-out to determine the range of values in the data set and how they are grouped. By putting an equal number of observations in each category. By using conventional rules of thumb to organize categories (for example, under 18 or 65 and older)

Two important rules for choosing categories are: Categories must be mutually exclusive (no overlap between them – respondents should not have trouble choosing the right category) Categories must be exhaustive (all possible categories should be chosen)

Are there problems with the following categories: How satisfied are you with the services you have received? 1)Very satisfied 2)Satisfied 3)Neutral 4)Somewhat unsatisfied

What is your income? Under \$18,000 \$20,000 to \$30,000 \$30,000 to \$49,999 \$50,000 or more

Rewrite of income table: Under \$18,000 \$18,000 - \$19,999 \$20,000 - \$29,999 \$30,000 - \$49,999 \$50,000 or more

What is the most important problem facing students today? High tuition Large classes Finding jobs No problems

(Rewrite of student problem question) What is the most important problem facing students today? 1)High tuition 2)Large classes 3)Finding jobs 4)No problems 5)Other ______________________

Most tables contain percentages Percentages represent the proportion of responses within each category. Percentages help us make comparisons between categories. They are necessary because raw data may not be distributed equally among categories. To calculate the percentage, you need to know the number of observations in the category and the total number of observations in the data set.

The formula for percentages Percentage = f /N * 100% where f = the number of observations in the category and N = the total number of observations in the data set. N can also be described as the base, total, or universe.

Examples 1) People in poverty in Fresno County = 400,000 Total number of people in Fresno County = 1,000,000 Percentage = ???? 2) Of 100 people in the study, 35 were women? What percentage were women?

Example: 75 people completed a survey in New Jersey. They were asked to name the Boss of New Jersey. These were the results: 15 - Tony Soprano 20 - the Governor of New Jersey 35 - Bruce Springsteen 5 - Other What percentage of people responded in each of the four categories?

Whos the Boss? Boss of New JerseyPercentage Bruce Springsteen46.67% Governor of New Jersey26.67% Tony Soprano20.0% Other6.67% Total100.00%

Questions about the Table and the Study Does the table actually add up to 100%? Can you round off numbers? What are the rules for rounding off? Why do Montcalm and Royse argue that you should also include the frequency count in each category in the table? Is this sample big enough so that the researchers can actually state that almost half of the people in New Jersey think Bruce Springsteen is the Boss? To generalize the findings, do we need to know how the sample was selected?

Decision Rules Decimals over 5 should be rounded up to the nearest number. For example, 6.67 should be rounded to 6.7. 9.5 should be rounded to 10 You must tell SPSS if you want one or two decimal places. SPSS automatically rounds the numbers in the table so that they total 100%. (Unless you change the specifications, SPSS will use two decimal places in all tables and statistical analyses.)

SPSS Tables include: Values or categories. Percentages Valid Percent (Percentage in each category minus any missing values in the data set) Cumulative Percent (Starting with the first category, the percentage in each new category is added on to the total. This can be used in hand calculations to make sure that your totals are correct. It also helps if you are going to add categories together)

SPSS Table

Qualitative Data: Requires that you collect data without using categories. To analyze this data you create categories after the data is collected.

To do this, you use methods similar to those in quantitative research Based on how previous researchers have organized categories for this variable or on existing theories. By visually scanning your data (usually transcriptions of interviews or notes from your observations) to determine how responses are grouped.

Basically, in qualitative analysis, the researcher: Identifies common words, ideas, patterns and themes. Uses sample quotations to illustrate what typical respondents say. Counts the number of times a specific word or idea is mentioned. Consequently, some qualitative analysis includes frequency counts and can be presented in tables.

For example, in one study people were asked to identify common problems at welfare offices. Comments were grouped by the researcher into four categories: Long waits for service (10 responses) Rude caseworkers (8 respondents) Dirty waiting rooms (7 respondents) Limited information about application processes or rules (5 respondents)

Fifteen people participated in this study. Do the results suggest that people made more than one comment about the welfare office?

It is necessary in qualitative analysis to: Choose what will be your unit of measurement: words, phrases, sentences, or the entire set of comments a respondent made to one or a set of questions Calculate the base (total) of all words, phrases, etc to be included in your total tally of responses. You do this to determine whether you have included all words or phrases etc. in your tally. Sometimes researchers will also calculate the percentage of time a response occurs.

Steps in Qualitative Analysis Bring together all responses. Organize them so that you can visually scan common elements. Put the common elements into categories. (first level analysis) Identify whether there are common themes and patterns among the different elements of the study (second level of analysis)

For example. Question 1: How can services better meet your needs? Responses better transportation change hours of service provide day care Question 2: What problems do you have coming to the agency? Transportation is hard to find Dont like staff members Im embarrassed because I cant pay for services.

How to tell if you have qualitative data: No categories for responses. Data collected through content analysis, observation, or interviews ( In some cases quantitative surveys may contain open- ended/no category responses. These questions are qualitative) No intervention has been introduced.

For example, one type of interview involves a focus group. Focus groups include 6 to 8 people plus a facilitator and a note taker. Focus group interviews are usually taped. The facilitator asks 6 to 8 open-ended questions. Group members volunteer responses. One response may build on another. Results usually generate a consensus about what the group perceives or feels about an issue. Focus groups are often used in politics or marketing. They can be used to see how people view services or policies.

Example of Focus Group Questions: 1. Can you describe how you first became aware of your deafness? 2. How do you see yourself today, in terms of your deafness? 3. What does your deafness mean to you? 4. Can you describe any particularly difficult or traumatic experiences in your life related to your deafness? 5. Can you describe how you fit into deaf culture? From Janesick, V. (1998). "Stretching" exercises for qualitative researchers. Thousand Oaks, CA: Sage, p. 75.

Remember that questions in qualitative research ask: How questions Why questions Do not use questions that people can answer yes or no!!!