Bus 301 Chapter 20

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    BusinessResearch Method

    Chapter 20:

    Basic Data Analysis: DescriptiveStatistics

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    What are the limitations of descriptive statistics?Descriptive statistics are limited in so much that they only allow youto make summations about the people or objects that you haveactually measured. You cannot use the data you have collected togeneralize to other people or objects (i.e., using data from a sample to

    infer the properties/parameters of a population). For example, if youtested a drug to beat cancer and it worked in your patients, you cannotclaim that it would work in other cancer patients only relying ondescriptive statistics (but inferential statistics would give you this

    opportunity).

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    Steps in Data Preparation

    Editing

    Coding

    Entering Data

    Data Tabulation

    Reviewing Tabulations

    Statistically adjusting the data

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    EditingTreatment of Unsatisfactory Results:

    Returning to the Field The questionnaires with unsatisfactoryresponses may be returned to the field, where the interviewers

    recontact the respondents.

    Assigning Missing Values If returning the questionnaires to thefield is not feasible, the editor may assign missing values tounsatisfactory responses.

    Discarding Unsatisfactory Respondents In this approach, therespondents with unsatisfactory responses are simply discarded.

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    Coding Data and Data Code book Data entry:Data entry refers to the creation of a computer file that holds the raw data taken fromall of the questionnaires deemed suitable for analysis.

    Data code book :

    Data Coding:Data Coding defined as the identification of codes that pertain to the possibleresponses for each question on the questionnaire.

    Data code book identifies all of the variable names and codenumbers associated with each possible response to eachquestion that makes up the data set.

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    A codebook generally contains the following information:column numberrecord numbervariable numbervariable name

    question numberinstructions for coding

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    Data Reduction

    Data Reduction is defined as the process of describing datamatrix by computing a small number of measures that

    characterize the data set.

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    Four Functions of Data Reduction

    1.Summarization2. Conceptualization3. Communication

    4. Interpolation

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    Types of Statistical Analyses Usedin Research

    Five basic types of statistical analyses Descriptive analysis Inferential analysis Differences analysis Associative analysis Predictive analysis

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    Types of Statistical Analyses

    Used in Research Five Types of Statistical Analysis:

    1. Descriptive analysis: used to describethe data set

    2. Inferential analysis: used to generateconclusions about the populationscharacteristics based on the sample data

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    Types of Statistical Analyses

    Used in Research3. Differences analysis: used to compare

    the mean of the responses of one group

    to that of another group4. Associative analysis: determines the

    strength and direction of relationships

    between two or more variables

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    Types of Statistical Analyses

    Used in Research5. Predictive analysis: allows one to make

    forecasts for future events

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    Tabulation

    Tabulation - Orderly arrangement of data ina table or other summary format

    Frequency table Percentages

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    Frequency Table

    The arrangement of statistical data in a row-and-column format that exhibits the count

    of responses or observations for eachcategory assigned to a variable

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    Descriptive Analysis

    Two sets of descriptive measures: Measures of central tendency: used to

    report a single piece of information thatdescribes the most typical response to aquestion

    Measures of variability: used to reveal thetypical difference between the values in aset of values

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    Measure of

    Central Measure ofType of Scale Tendency Dispersion

    Nominal Mode NoneOrdinal Median PercentileInterval or ratio Mean Standarddeviation

    Central Tendency

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    Measures of Central Tendency

    Use to report a single piece of informationthat describes the most typical response to aquestion

    The term central tendency applies to anystatistical measure used that somehowreflects a typical or frequently response

    3 measures of central tendency arecommonly used mode, median & mean

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    Descriptive Analysis Measures of Central Tendency:

    Mode: the value in a string of numbers thatoccurs most often

    Median: the value whose occurrence lies inthe middle of a set of ordered values

    Mean: sometimes referred to as thearithmetic mean; the average valuecharacterizing a set of numbers

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    Descriptive Analysis Measures of Variability:

    Frequency distribution: reveals the number (percent) ooccurrences of each number or set of numbers

    Range: identifies the maximum and minimum values inset of numbers Standard deviation: indicates the degree of variation in

    a way that can be translated into a bell-shaped curvedistribution

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    Cross-Tabulation

    A technique for organizing data by groups,categories, or classes, thus facilitating

    comparisons; a joint frequency distributionof observations on two or more sets ofvariables

    Contingency table- The results of a cross-tabulation of two variables, such as surveyquestions

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    Cross-Tabulation

    Analyze data by groups or categories Compare differences Contingency table Percentage cross-tabulations

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    Base

    The number of respondents or observations(in a row or column) used as a basis for

    computing percentages

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    Tworatingscales 4 quadrants

    two-dimensionaltable

    Importance-PerformanceAnalysis)

    Quadrant Analysis

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    Data Transformation

    Data conversion Changing the original form of the data to a

    new format More appropriate data analysis New variables

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    Interpretation

    The process of making pertinent inferencesand drawing conclusions

    concerning the meaning and implications ofa research investigation

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