際際滷

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 Statistics is a numbers game
 Application of common sense to the
numerical facts of life
 Better position to act in the face of
uncertainty- risks
 The objective of Statistics is to make
inferences (predictions, decisions) about a
population based upon information contained
in a sample.
 Mendenhall
Statistics
Two meanings
* Specific numbers
* Method of analysis
Statistics
 Specific number
 Numerical measurement determined by a set of data
 Example: Thirty three percent of people
polled believed that present eudcation
system is good
 Number of trained community health
workers in the different districts of the
country
 Birth weight of the babies
 Amount of creatinine in mg per litre ina 24-
hour urine specimen
Statistics
 Method of analysis
a collection of methods for planning
experiments, obtaining data, and
then organizing, summarizing, presenting,
analyzing, interpreting, and drawing
conclusions based on the data
Statistics
 Collection of data on participants in
a disease intervention programme
 Collection of data to compare the
relative effects of two drugs
Definition-Statistics
 means an aggregate of facts
 are affected to a marked extent by
multiplicity of causes
 Numerically expressed
 Are enumerated or estimated according to
reasonable standards of accuracy
 Collected in a systematic manner
 Collected for a predetermined purpose
 Are placed in relation to each other
What is Meant by Statistics?





Statistics is the science
of collecting, organizing,
presenting, analyzing,
and interpreting
numerical data to assist
in making more
effective decisions.
Definitions
Population
the complete collection of all
elements (scores, people,
measurements, and so on) to be
studied. The collection is complete
in the sense that it includes all
subjects to be studied.
Definitions
Census
the collection of data from every
element in a population
Sample
a subcollection of elements drawn
from a population
 Parameter
a numerical measurement describing
some characteristic of a population
Definitions
 Parameter
a numerical measurement describing
some characteristic of a
population
population
parameter
Definitions
Definitions
Statistic
a numerical measurement describing
some characteristic of a sample
Definitions
Statistic
a numerical measurement describing
some characteristic of a sample
sample
statistic
Definitions
Quantitative data
numbers representing counts or
measurements
Definitions
Quantitative data
Measurable value - Height, Weight ..
 Qualitative (or categorical or
attribute) data
can be separated into different categories that are
distinguished by some nonnumeric characteristics
Eg: Gender , Religion, education status
Quantitative data:
Discrete
data result when the number of possible values is either a
finite number or a countable number of possible values
0, 1, 2, 3, . . .
Continuous
(numerical) data result from infinitely many possible
values that correspond to some continuous scale that
covers a range of values without gaps, interruptions, or
jumps
Definitions
 Discrete
The number of children in a class room
 Then number of patients in Ward A
 Measurement like SBP, DBP, Pulse rate.
Continuous
The height of students
The weight of students
Skin fold thickness ..
Definitions
Q ualitative or attribute
(type of car owned)
discrete
(num ber of children)
continuous
(tim e taken for an exam )
Q uantitative or num erical
DATA
 nominal level of measurement
characterized by data that consist of names, labels, or
categories only. The data cannot be arranged in an
ordering scheme (such as low to high)
 Example: Nominal scale
 Eye color: Blue, green, or brown
 No rank or order to the categories
 Presence or absence of a disease
 Gender
Definitions
 ordinal level of measurement
involves data that may be arranged in some order, but
differences between data values either cannot be
determined or are meaningless
Example: Course grades A, B, C, D, or F
Mild, moderate, severe
Definitions
 Ordinal scale
All the characteristics of a nominal scale,
plus there is a ranking among the categories:
e.g., Mild, Moderate, Severe;
First place, Second place, Third place
Strongly Agree - - - - Strongly Disagree
Measurement Scales
 Quantitative scales
 Interval scale
 Designates an equal-interval ordering
 No true zero point
 The distance between 1 and 2 is the same as
the distance between 49 and 50
Fahrenheit temperature scale: 0 F does not
mean no temperature
60 degrees F is not twice as warm as 30
degrees
 interval level of measurement
like the ordinal level, with the additional property that the
difference between any two data values is meaningful.
However, there is no natural zero starting point (where
none of the quantity is present)
Example: Temperature
Definitions
 ratio level of measurement
the interval level modified to include the natural zero
starting point (where zero indicates that none of the
quantity is present). For values at this level, differences
and ratios are meaningful.
Example: Height, weight.
Definitions
Levels of Measurement
 Nominal - categories only
 Ordinal - categories with some order
 Interval - differences but no natural starting
point
 Ratio - differences and a natural starting point
Two phases of statistics:
Descriptive Statistics:
Describes the characteristics of a product or
process using information collected on it.
Inferential Statistics (Inductive):
Draws conclusions on unknown process
parameters based on information contained in
a sample.
Uses probability
FUNCTIONS OF STATISTICS
 To Compare
 To find the association
 To find the correlation
 To predict
 To find the reliablility & Validity

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1statistics research methodology ...pptx

  • 1. Statistics is a numbers game Application of common sense to the numerical facts of life Better position to act in the face of uncertainty- risks
  • 2. The objective of Statistics is to make inferences (predictions, decisions) about a population based upon information contained in a sample. Mendenhall
  • 3. Statistics Two meanings * Specific numbers * Method of analysis
  • 4. Statistics Specific number Numerical measurement determined by a set of data Example: Thirty three percent of people polled believed that present eudcation system is good
  • 5. Number of trained community health workers in the different districts of the country Birth weight of the babies Amount of creatinine in mg per litre ina 24- hour urine specimen Statistics
  • 6. Method of analysis a collection of methods for planning experiments, obtaining data, and then organizing, summarizing, presenting, analyzing, interpreting, and drawing conclusions based on the data Statistics
  • 7. Collection of data on participants in a disease intervention programme Collection of data to compare the relative effects of two drugs
  • 8. Definition-Statistics means an aggregate of facts are affected to a marked extent by multiplicity of causes Numerically expressed Are enumerated or estimated according to reasonable standards of accuracy Collected in a systematic manner Collected for a predetermined purpose Are placed in relation to each other
  • 9. What is Meant by Statistics? Statistics is the science of collecting, organizing, presenting, analyzing, and interpreting numerical data to assist in making more effective decisions.
  • 10. Definitions Population the complete collection of all elements (scores, people, measurements, and so on) to be studied. The collection is complete in the sense that it includes all subjects to be studied.
  • 11. Definitions Census the collection of data from every element in a population Sample a subcollection of elements drawn from a population
  • 12. Parameter a numerical measurement describing some characteristic of a population Definitions
  • 13. Parameter a numerical measurement describing some characteristic of a population population parameter Definitions
  • 14. Definitions Statistic a numerical measurement describing some characteristic of a sample
  • 15. Definitions Statistic a numerical measurement describing some characteristic of a sample sample statistic
  • 17. Definitions Quantitative data Measurable value - Height, Weight .. Qualitative (or categorical or attribute) data can be separated into different categories that are distinguished by some nonnumeric characteristics Eg: Gender , Religion, education status
  • 18. Quantitative data: Discrete data result when the number of possible values is either a finite number or a countable number of possible values 0, 1, 2, 3, . . . Continuous (numerical) data result from infinitely many possible values that correspond to some continuous scale that covers a range of values without gaps, interruptions, or jumps Definitions
  • 19. Discrete The number of children in a class room Then number of patients in Ward A Measurement like SBP, DBP, Pulse rate. Continuous The height of students The weight of students Skin fold thickness .. Definitions
  • 20. Q ualitative or attribute (type of car owned) discrete (num ber of children) continuous (tim e taken for an exam ) Q uantitative or num erical DATA
  • 21. nominal level of measurement characterized by data that consist of names, labels, or categories only. The data cannot be arranged in an ordering scheme (such as low to high) Example: Nominal scale Eye color: Blue, green, or brown No rank or order to the categories Presence or absence of a disease Gender Definitions
  • 22. ordinal level of measurement involves data that may be arranged in some order, but differences between data values either cannot be determined or are meaningless Example: Course grades A, B, C, D, or F Mild, moderate, severe Definitions
  • 23. Ordinal scale All the characteristics of a nominal scale, plus there is a ranking among the categories: e.g., Mild, Moderate, Severe; First place, Second place, Third place Strongly Agree - - - - Strongly Disagree
  • 24. Measurement Scales Quantitative scales Interval scale Designates an equal-interval ordering No true zero point The distance between 1 and 2 is the same as the distance between 49 and 50 Fahrenheit temperature scale: 0 F does not mean no temperature 60 degrees F is not twice as warm as 30 degrees
  • 25. interval level of measurement like the ordinal level, with the additional property that the difference between any two data values is meaningful. However, there is no natural zero starting point (where none of the quantity is present) Example: Temperature Definitions
  • 26. ratio level of measurement the interval level modified to include the natural zero starting point (where zero indicates that none of the quantity is present). For values at this level, differences and ratios are meaningful. Example: Height, weight. Definitions
  • 27. Levels of Measurement Nominal - categories only Ordinal - categories with some order Interval - differences but no natural starting point Ratio - differences and a natural starting point
  • 28. Two phases of statistics: Descriptive Statistics: Describes the characteristics of a product or process using information collected on it. Inferential Statistics (Inductive): Draws conclusions on unknown process parameters based on information contained in a sample. Uses probability
  • 29. FUNCTIONS OF STATISTICS To Compare To find the association To find the correlation To predict To find the reliablility & Validity

Editor's Notes

  • #6: page 4 of text
  • #11: Emphasize that a population is determined by the researcher, and a sample is a subcollection of that pre-determined group. For example, if I collect the ages from a section of elementary statistics students, that data would be a sample if I am interested in studying ages of all elementary statistics students. However, if I am studying only the ages of the specific section of elementary statistics, the data would be a population.
  • #12: page 5 of text
  • #16: page 6 of text
  • #18: Understanding the difference between discrete versus continuous data will be important in Chapters 4 and 5. When measuring data that is continuous, the result will be only as precise as the measuring device being used to measure.
  • #21: page 7 of text
  • #22: Understanding the differences between the levels of data will help students later in determining what type of statistical tests to use. Nominal and ordinal data should not be used for calculations (even when assigned numbers for computerization) as differences and magnitudes of differences are meaningless.
  • #25: Students usually have some difficulty understanding the difference between interval and ratio data. Fortunately, interval data occurs in very few instances.
  • #27: review of four levels of measurement