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Sampling
fundamentals
D.A. Asir John Samuel, MPT (Neuro Paed),
 Lecturer, Alva’s college of Physiotherapy,
                 Moodbidri



            Dr.Asir John Samuel (PT), Lecturer, ACP
Some fundaments definitions
• Population
- Collection of all the units that are of interest to
  the investigator
• Sample
- Representative part of population
• Sampling
- Technique of selecting a representative group
  from a population
                     Dr.Asir John Samuel (PT), Lecturer, ACP
Some fundaments definitions

• Sampling error

- The difference that occurs purely by chance
 between the values of sample statistic and
 that   of   the        corresponding                    population
 parameter


               Dr.Asir John Samuel (PT), Lecturer, ACP
Need for sampling
• Only feasible method for collecting information

• Reduces demands on resources (time, finance,.)

• Results obtained more quickly

• Better accuracy of collected data

• Ethically acceptable

• Only way when population contains infinite
  members         Dr.Asir John Samuel (PT), Lecturer, ACP
Sampling distributions

• Parametric tests

• Non parametric tests




                Dr.Asir John Samuel (PT), Lecturer, ACP
Chi-square Test (x2)

• Variables     of           interest                     are    categorical
  (quantitative)

• To determine whether observed difference in
  proportion     b/w              the             study         groups   are
  statistically significant

• To test association of 2 variables
                     Dr.Asir John Samuel (PT), Lecturer, ACP
Chi-square Test-Assumption

• Randomly drawn sample

• Data must be reported in number

• Observed frequency should not be too small

• When observed frequency is too small and
 corresponding expected frequency is less than
 5 (<5) – Fischer Exact test
                 Dr.Asir John Samuel (PT), Lecturer, ACP
Test statistic

     x2 = ε(O-E)2/E

O – observed frequency
E – expected frequency




    Dr.Asir John Samuel (PT), Lecturer, ACP

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7.sampling fundamentals

  • 1. Sampling fundamentals D.A. Asir John Samuel, MPT (Neuro Paed), Lecturer, Alva’s college of Physiotherapy, Moodbidri Dr.Asir John Samuel (PT), Lecturer, ACP
  • 2. Some fundaments definitions • Population - Collection of all the units that are of interest to the investigator • Sample - Representative part of population • Sampling - Technique of selecting a representative group from a population Dr.Asir John Samuel (PT), Lecturer, ACP
  • 3. Some fundaments definitions • Sampling error - The difference that occurs purely by chance between the values of sample statistic and that of the corresponding population parameter Dr.Asir John Samuel (PT), Lecturer, ACP
  • 4. Need for sampling • Only feasible method for collecting information • Reduces demands on resources (time, finance,.) • Results obtained more quickly • Better accuracy of collected data • Ethically acceptable • Only way when population contains infinite members Dr.Asir John Samuel (PT), Lecturer, ACP
  • 5. Sampling distributions • Parametric tests • Non parametric tests Dr.Asir John Samuel (PT), Lecturer, ACP
  • 6. Chi-square Test (x2) • Variables of interest are categorical (quantitative) • To determine whether observed difference in proportion b/w the study groups are statistically significant • To test association of 2 variables Dr.Asir John Samuel (PT), Lecturer, ACP
  • 7. Chi-square Test-Assumption • Randomly drawn sample • Data must be reported in number • Observed frequency should not be too small • When observed frequency is too small and corresponding expected frequency is less than 5 (<5) – Fischer Exact test Dr.Asir John Samuel (PT), Lecturer, ACP
  • 8. Test statistic x2 = ε(O-E)2/E O – observed frequency E – expected frequency Dr.Asir John Samuel (PT), Lecturer, ACP