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Before we jump into exploratory data analysis and really appreciate its importance in the process of statistical vraiable, let's step back for a minute and ask:. Data are pieces of information about individuals organized into variables. By an individual, we mean a particular person or object. By a variable, we mean vatiable particular characteristic of the individual. A dataset is a set of data identified with particular circumstances. Datasets are typically displayed in tables, in which rows represent individuals and columns represent variables.
Each row, then, gives us all the information about a particular ia in this case, patientand each column gives us information about a particular characteristic of all the patients. Variables can be classified into one of two types: categorical or quantitative. Each observation can be placed in only one category, and the categories are mutually exclusive. In our example of medical records, Smoking is a categorical variable, with two groups, since each participant can be categorized only as either a nonsmoker or a smoker.
Gender and Race are the two other categorical variables in our medical records example. Notice that the values of the categorical variable Vaariable have been coded as the numbers 1 or 2. It is common to code the values of a categorical variable as numbers, but you should remember that these are just codes. They have no arithmetic meaning i. In our medical example, Age is an example of a quantitative variable because it can take on multiple numerical values.
It also makes sense to think about it in numerical form; that is, a person can be 18 years old or 80 years old. Weight and Height are also examples of quantitative variables. Categorical variables are sometimes called qualitative variables, but in this course we use the term categorical. Census is completed by people living in the United States. Researchers are interested in comparing therapeutic solutions that could delay or reduce what is the difference between variable and attribute data incidence of recurrence.
In a study conducted by the National Institutes of Health, clinically depressed patients were separated into three groups, and each group what is the difference between variable and attribute data given one of two active drugs imipramine or lithium or no drug at all. For each patient, the dataset contains the treatment used, the outcome of the treatment, and several other interesting characteristics. Did I Get Whta 1 punto posible Which anc the following variables is categorical?
Check all that apply. Varibale Time Age Gender TimeAtteibute- correcto Correcto: Time and Age are quantitative variables, since they can take on multiple numerical values, which have arithmetic meaning i. Our Answer: How to see who is on tinder without signing up categorical variables are 1 Hostp because the numbers represent codes, which are used to identify individual hospitals and place them into categories.
As such, the numbers used for the codes 1, 2, 3, 5, and 6 have no arithmetic meaning; 2 Treat because the treatment received by the patients what does arabic mean islam in the form of categories Lithium, Imipramine, or Placebo ; 3 Outcome since recurrence is in the form of two categories Recurrence or No Recurrence and 4 Gender because the numbers represent two distinct categories: Female whwt Male.
Our Answer: The quantitative variables are 1 Time since it can take on multiple numerical values, which have arithmetic meaning i. However, interval variables do not have a meaningful zero point. Thus, a zero does not mean the absence. For instance, when temperature is measured in Celsius, differende one wyat. Be sure to keep. What does ese mean in spanish Scale of Measurement The nominal scale of measurement is a qualitative measure that uses discrete categories to describe a characteristic of the research participants.
For each participant, the researcher determines the presence, absence, and type of the attribute. Often, difefrence described here, the categories have names; however, betwen code them with numbers for use in statistical analyses. These categories are not ordered or ranked in any way. The number of minutes it takes participants to run one mile.
Attrbute participants rank numbers i. Identifying participants as runners or non-runners. This measure, like all nominal scales of measurement, assigns subjects to discrete categories; thus, participants are either runner or non-runners. Ordinal Scale of Measurement An ordinal scale of measurement rank-orders participants on some scale or attribute, diffdrence the difference between numbers does not convey fixed or equal differences. For example, a group of participants can ahtribute rank-ordered from least to most politically active.
Thus, the condition of a car is ranked, but the distance between the ranks is unknown. This measure, like all ordinal scale of measurements, rank-orders participants on some scale or attribute. Interval Scale of Measurement The interval scale of measurement takes numerical form, and the distance between pairs of consecutive numbers is assumed to be equal. However, interval variables do not have a meaningful what are the basics of international marketing point; thus, a zero does not mean the absence of the attribute, but rather it is a particular but arbitrary point on the scale.
A good example of an interval measure is temperature in the Impact printer definition and types scale: a temperature of zero degrees Fahrenheit is still variabble temperature, not the absence of temperature. In education, measures like achievement, motivation, and self-concept are considered interval diffegence a zero on a measure of such variables does us mean the absence of the characteristic in the participant.
Political affiliation i. Intelligence scores are interval level of measurement, because they take numerical form and the distance between pairs of scores are assumed to be equal, but there is no meaningful zero point; that is, there cannot be a complete absence beteeen intelligence. Ratio Diffdrence of Measurement The ratio scale of measurement is similar what is the difference between variable and attribute data the interval scale. As with the interval scale, a number is assigned to a subject that represents the amount of the attribute that the subject has and the difference between consecutive numbers is assumed to be equal.
The main difference between interval and ratio measurements has to do with how we interpret a betweem of zero. For ratio measures, the zero is meaningful and tell us that the attribute is not present in the participant. Social Security numbers Clothing sizes e. Length of room in inches is a ratio variable because it uses numbers to represent the amount of a characteristic and it has a meaningful zero. The next activity will help you to see whether you understand the different scales of measurement.
What scale of measurement is this measure? Ordinal scales of measurement use rank ordering. A researcher measures political affiliation, and records a value of 1 for a Republican, 2 for a Democrat, 3 for an Independent, and 4 for other affiliations. It assigns values to discrete categories and attributes these values to the research subjects. This measure of political affiliation is nominal. The researcher records the percentage of time students spend working in groups during the class.
In this case, the measure of betwwen represents the proportion of the class that is group work, where zero means they do not do any group work in this minute period. Ratio variables use numbers to represent the amount of a characteristic, dqta zero means the absence of the characteristic. Interval scales of measurement use numbers to represent the amount of a characteristic that a subject has, but do not have a meaningful zero point.
Here, a higher SAT Math Test score indicates greater levels of understanding vzriable mathematical concepts. Examining Distributions As indicated in the introduction, we will begin the EDA part of the course by exploring or looking at one variable at a time. As we saw in Vadiable and Variables, the data for each variable are a long list of values whether numerical or notand are amd very informative in that form. In order to convert these raw data dfiference useful information we need to summarize and then examine the distribution of the variable.
By distribution of a variable, we mean:. This module has two sections. We will first learn betaeen to summarize and examine the distribution of a single categorical variable, and then do the same for a quantitative variable. Frequency Distributions Learning Objective: Summarize and describe the distribution of a categorical variable in context. What is your perception of your own body? Do you feel that you are overweight, underweight, or about right? A random sample of 1, U.
The following table shows part of the responses:. Are they equally divided? If not, do the percentages follow some other kind of pattern? There is no way what is the difference between variable and attribute data we can answer these questions by looking at the raw data, which are in the form of a long list of 1, responses, and thus not very useful. However, both these questions will be easily answered once we summarize vatiable look at the distribution of the variable Body Image i. In order to summarize the distribution has anyone died from love island a categorical variable, we first create a dwta of the different values categories the variable takes, how many times each value occurs count and, more importantly, how often each value occurs by converting the counts to percentages ; this table is called a frequency distribution.
Here is the frequency distribution for our example:. In order to visualize the numerical summaries we've obtained, we need a graphical display. Diffegence are two simple graphical displays for visualizing the distribution of categorical data:. There is no difference. The two bar charts represent the distributions of two different variables. The first bar chart represents the count of respondents that chose each ehat, while the second bar chart represents the percentage of respondents that chose each category.
Counts have a scale from 0 to the total number of subjects, while percentages always have a scale from 0 to Correcto: The two bar charts are different because counts and percentages have different scales on the vertical axis. Now that we have summarized the distribution of values in the Body Image variable, let's go back and interpret the results in the context of the questions that we posed:.
Students are equally divided across the three categories. Students are not equally divided across the three categories. Thus, the students' responses are not equally divided among the categories. We what is the difference between variable and attribute data looking for the category that has the largest piece of the pie and the longest bar in the bar chart—the category "about right. Now that we've interpreted the results, there are some other interesting questions that arise:.
In particular, can what is the difference between variable and attribute data make such a generalization even though our sample consisted of only 1, students, which is attdibute very small fraction of the entire population? These are the types of questions that we will deal vsriable in future sections of the course.