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    DIRECTORS OF A COMPANY

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    GOVERNMENT

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    ACADEMIC INSTITUTES

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    INDIPENDENT SURVEYORS

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    1. Statistics is concerned with scientific procedures and

    methods for collecting, organizing, summarizing,

    presenting and analyzing data, as well as obtaining

    useful information, drawing valid conclusion and

    making effective decisions based on the analysis.

    2. The basic steps in statistical problem-solving are

    outlined below.

    a. Identifying the problem or opportunity.b. Gathering available facts.

    c. Gathering new data.

    d. Classifying and organizing data.

    e. Data presentation.

    f. Making decision.

    3. Statistical techniques can be divided into two

    categories:

    a. Descriptive statistics

    b. Inferential (or inductive) statistics.

    4. Descriptive statistics: involves data that are

    compiled, organized, summarized and presented in

    suitable visual forms which are easy to understand and

    suitable for use.Various tables, graphs, charts and diagrams are used to exhibit

    the information obtained form the data.

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    5. Inferential statistics: In inferential statistic, we take

    generalizations about a population by analyzing

    samples. If a sample is a good representation of a

    population, accurate conclusions about the populationcan be inferred from the analysis of the sample.

    {inferred = guess or interpretation}

    6. Population and sample

    Population: is used to designate the complete setof items that are of interest in the research.

    Sample: The term Sample is used to designate a

    subset of items that are chosen from the population.

    A set of items selected

    form the population

    (sample). Hence, the

    sample is a subset of t

    population.A set of all items

    (population)

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    7. Statistic: A summary measure such as mean,

    median, mode, or standard deviation, computed form

    sample data is called a statistic.

    9. Parameter: A summary measure for the entire

    population.

    10. Census: A study that measures a variable for every

    unit in the population is called Census.

    11. A sample survey : involves a subgroup (or sample)

    of a population being chosen and questioned on a set of

    topics.

    12. A pilot study is a study done before the actual field

    work is carried out.

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    DATA

    Data is a measure on variables of interest obtained

    from a sample.

    Example: researchers may collect data on the amount

    of money spent by secondary school students on

    textbooks, the brand of detergents most preferred by

    housewives in Seremban, the monthly income of rubber

    smallholders in Malaysia, the average length of stay of

    foreign tourists in Malaysia and their favorite places of.

    Data can be obtained from primary as well as secondary

    sources.

    PRIMARY DATA Researchers collect primary data from

    primary sources or from samples. For example, a

    researcher interviews the respondents and records their

    responses. A researcher may go to a supermarket and

    observe the buying habits of the public during festive

    seasons.

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    SECONDARY DATA Secondary data is normally

    published data collected by other parties. For example

    government agencies such as Bank Negara, the

    Department of statistics, Ministry of International Trade

    and Industry and other agencies publish their data

    regularly and provide secondary sources of data to

    many researchers.

    In addition bulletins, journals, newspapers and other

    publications also provide useful secondary data to

    researchers.

    VARAIBLES

    A variable measures a characteristic of the population

    that the researcher wants to study. For example,variables of interest may be the monthly income of

    respondents, respondents age, gender, level of

    education, number of children and type of house owned

    by respondents.

    VARAIBLES

    Quantitative or Numerical Qualitative or AttributiveMeasure on Numerical scale Measured with non-numerical scale

    Yields numerical response Yields categorical response

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    SCALE OF MEASUREMENT

    Data can be divided into numerical and categorical data.

    Numerical data contains numbers that we can

    manipulate using ordinary arithmetical operations. For

    example, counting the number of cars that pass through

    a toll-booth for three consecutive days.

    Categorical data can be sorted into categories. For

    example, data on the marital status of respondents canbe classified into single married, widow or widower, or

    divorced.

    Usually, data are classified as nominal, ordinal, interval

    or ratio.

    Nominal- level date Ordinal- level data Interval- level data Ratio- level data

    Zip codeGrade

    (a,b,c,d)IQ Height

    Gender(male,femaele)

    Judging

    (first place, second

    place)

    TemperatureaWeight

    Eye color (blue, brown,

    green, hazel)

    Rating scale (poor,

    good, excellent)SAT score Time

    Major field( mathematics,

    computer,etc)

    Ranking of players ----------- Salary

    Nationality ------------- ------------ Age

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    SAMPLING AND DATA COLLECTION METHODS

    Sampling is the process of selecting a sample from a

    population. The sample must be selected in such a way

    so that it will accurately represent its population.

    Sampling techniques:

    Sampling techniques can be classified broadly into two

    categories:

    1. Non-probability sampling techniques.

    2. Probability sampling techniques.

    Non-probability sampling

    techniques

    Probability sampling

    techniques.

    Convenience

    sampling

    Judgmental

    sampling

    Simple random

    sampling

    Systematic

    sampling

    Snowball

    samplingQuota sampling Cluster sampling

    Stratified

    sampling

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    Data collection methods

    After the sample is identified and selected by using the

    appropriate sampling technique is to determine the

    best way to reach the respondents in order to obtain

    the required data. There are several methods of

    collecting data and each has its own advantages and

    disadvantages. A researcher must choose the methods

    that provide the most information at minimum cost.

    The common method of collecting data is as follows.

    1. Face to face interview.

    2. Telephone interview.

    3. Direct questionnaire.4. Mail or postal questionnaire.

    5. Direct observation

    6. Other methods (e-mail, video recording)

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    CHAPTER 3

    DATA PRESENTATION

    Survey show that the majority of shareholders prefer to

    look at visual presentations of the companys

    performance instead of listening to verbal reports to

    evaluate performances before giving their votes.

    Data presentation is an essential step before further

    statistical analysis is warranted. Data are summarized

    and displayed enabling researchers, managers and

    decision-makers to observe important features of the

    data.

    Some common data presentations include frequency

    table, bar chart, pie chart, histogram, frequency curve,

    line graph, pictograph, stem-and-lead display, box plot

    and ogive.

    SEEING IS BELIEVING

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    Qualitative data can be classified intocategories or classes. They can best be presented in the

    form of frequency distribution, bar chart, pie chart and

    contingency table.

    1. Frequency distribution or frequency table

    {Frequency (occurrence, incident, rate, regularity)}One simple way of presenting qualitative data is by

    frequency distribution. A frequency distribution is a

    table consisting of columns and rows.

    For example a car dealer in Kuala Lumpur makes the sales for

    the flowing types of cars in the month of January 2010.

    The first

    column of the

    table is qualitative variables that is the car models, while the

    second column Is the frequency of the types of cars sold.

    Car model Number of cars

    Waja 66

    Wira 50

    Saga 39

    Gen-2 25

    Total 180

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    2. Pie chart

    A pie chart can be used to represent Categorical data. It

    consist of one or two circles that are divided intosectors. The sectors show the number of objects or

    percentage of each group or category.

    Guidelines for constructing a pie chart are as follows:

    a. Choose a small number of categories (say 3-10)

    b. Partition the circle to match the percentages for each

    of the categories.

    Example: NZ holdings current assets in RM (million) for

    the year 2010 are given in the table below

    Current asset RM (million)Stocks 1520

    Cash 720

    Others 860

    A pie chart for the information above is constructed asfollows

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    Solution:

    a. Number of categories = 3

    b. Percentages ( to nearest whole number).

    c. i). Stock= 1520/ (1520+720+860)x100=49%

    ii). Cash = 720/(1520+720+860)x100=23%

    iii). Others= 860/(1520+720+860)x100=28%

    Convert the % in Degrees (total 360 ) before drawing.

    49 %=176.4 , 23%=82.8, 28%=100.8

    49%

    23%

    28%

    RM (million)

    Stocks Cash Others

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    3.Bar chart: A bar chart is another graphical method for

    describing data that can be divided into categories. Bar

    charts are frequently used in newspapers, magazines,

    companies annual reports and other presentations to

    convey and highlight information.

    Guidelines for constructing a bar chart:

    a. Label the vertical axis with the number of objects

    that fall into each category; and label the categoriesalong the horizontal axis.

    b. Construct a rectangle over each category with the

    height of the rectangle equal to the number of objects

    in that category. The base of each rectangle should be

    of the same width.

    c. Leave space between each category on the horizontal

    axis to distinguish between the categories and to clarify

    the presentation.

    0

    20

    40

    60

    1ST 2ND 3RD 4TH

    PROFIT RM (MILLLION)

    PROFIT RM (MILLLION)

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    ORGANISING AND GRAPHING QUNATITATIVEDATA