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7/31/2019 Hand Out Chapter 1-2.PDF
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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