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UNIT 5 (a):
METHODOLOGY
Measurement & Data Collection
Populations & Samples
Ms. Chanda Jabeen
Lecturer
RN, RM, BSN
M.Phil. Epidemiology & Public Health
PhD (Scholar) Epidemiology & Public Health 1
OBJECTIVES
At the end of this session the students will be able to:
• Describe evaluation of observational methods.
• Discuss types of questions.
• Enlist Composite Psychosocial Scales.
• Explain Likert scale.
• Explain Semantic Differential Scales
• Explain Guttman Scale
• Explain Accuracy, Precision & Error
• Discuss Sampling & Population.
• Explain calculation of sample size.
2
Evaluation of Observational Methods
• Excellent method for capturing many clinical
phenomena and behaviors
• Potential problem of reactivity when people are aware
that they are being observed
• Risk of observational biases—factors that can interfere
with objective observation
3
Self-report
• A self-report study is a type of survey, questionnaire,
or poll in which respondents read the question and
select a response by themselves without researcher
interference.
4
A self-report is any method which involves asking a
participant about their feelings, attitudes, beliefs and so
on.
Examples of self-reports are questionnaires and
interviews; self-reports are often used as a way of
gaining participants' responses in observational studies
and experiments.
5
6
7
Structured Self-Reports (Surveys)
• Data are collected with a formal instrument.
– Interview schedule
• Questions are prespecified but asked orally.
• Either face-to-face or by telephone
– Questionnaire
• Questions prespecified in written form, to be self-
administered by respondents
8
Advantages of Interviews Compared
with Questionnaires
• Higher response rates with interviews
• Usually lower costs with questionnaires
• Interviews appropriate for more diverse audiences
• Interviews allow more opportunities to clarify
questions or to determine comprehension
• Interviews allow more opportunity to collect
supplementary data through observation, ie. body
language
• Questionnaires allow for more privacy or anonymity
• Questionnaires lack interviewer bias
9
Kinds of Questions
• Knowledge questions
• Opinion questions
• Application questions
• Analysis questions
• Synthesis questions
10
Synthesis Questions
• Synthesis questions ask you to take two kinds of
information and put them together… you compare
them, or make conclusions based on both of them, or
get new information about the reading based on
learning something new.
11
Survey Considerations
• Clarity of questions
• Reading level of subjects
• Length of survey
• Analysis method planned
• Start with least threatening questions
• Limit questions to a single concept
• Provide well written cover letter/ instructions
12
Types of Questions in a Structured
Instrument
• Closed-ended (fixed alternative) questions
– ―Within the past 6 months, were you ever a
member of a fitness center or gym?‖ (yes/no)
• Open-ended questions
– ―Why did you decide to join a fitness center or
gym?‖
13
Specific Types of Closed-Ended
Questions
• Dichotomous questions
– Yes/no; male/female
• Multiple-choice questions
• Forced-choice questions
– Which statement most closely represents you view?
• What happens to me in research class is my own doing
• What happens to me in research class is Dr. Creel’s
fault!
14
• Cafeteria questions are a special type of multiple choice
question that asks respondents to select a
response that most closely corresponds to their
view. The response options are usually full expressions
of a position on the topic.
• Rank-order questions ask respondents to rank
target concepts along a continuum, such as most
to least important.
15
16
17
Composite Psychosocial Scales
• Scales—used to make fine quantitative
discriminations among people with different attitudes,
perceptions, traits
• Likert scales—summated rating scales
• Semantic differential scales
• Guttman scale
• Visual analog scale (VAS)
18
Likert Scales
• The Likert scale is designed to determine the opinions or
attitudes of study subjects.
• This scale contains a number of declarative statements, with a
scale after each statement.
• The Likert scale is the most commonly used of the scaling
techniques.
• The original version of the scale included five response
categories. Each response category was assigned a value, with
a value of 0 or 1 given to the most negative response and a
value of 4 or 5 given to the most positive response
19
20
21
Response choices in a Likert scale usually address agreement,
evaluation, or frequency.
Agreement options may include statements such as strongly
disagree, disagree, uncertain, agree, and strongly agree.
Evaluation responses ask the respondent for an evaluative rating
along a bad-good dimension, such as negative to positive or
terrible to excellent.
Frequency responses may include statements such as never,
rarely, sometimes, frequently, and all the time.
22
A Likert scale usually consists of 10 to 20 items, each addressing
an element of the concept being measured.
Usually, the values obtained from each item in the instrument are
summed to obtain a single score for each subject.
Although the values of each item are technically ordinal-level
data, the summed score is often analyzed as interval-level data.
The CES-D is a Likert scale used to assess the
level of depression in patients in clinical practice and research.
This scale has four response options—
Rarely or none of the time (less than 1 day)¼0, Some or a little of
the time (1 to 2 days)¼1, Occasionally or a moderate amount of
time (3 to 4 days)¼2, and Most or all of the time (5 to 7 days)¼3.
23
Semantic Differential Scales
• Require ratings of various concepts
• Rating scales involve bipolar adjective pairs, with
7-point ratings.
• Ratings for each dimension are summed to compute
a total score for each concept.
24
Example of a Semantic Differential
25
Guttman Scale
• Set of items on a contiuum or statements
ranging from one extreme to another.
• Responses are progressive and cumulative
26
Guttman scale examples
The ideal Guttman scale is such that if the respondent
disagrees, for example, with statement 4 (having agreed
with statements 1 to 3) then the respondent will disagree
with statement 5 and higher as these represent more
extreme expressions of the attitude being investigated.
For example, a series of items on attitude could be
• "I am willing to be near a cat"
• "I am willing to have a cat"
• "I love to have a cat"
• "I am willing to touch a cat"
27
28
Guttman scale
On a Guttman scale, items are arranged in an order so
that an individual who agrees with a particular item also
agrees with items of lower rank-order. For example, a
series of items could be
(1) "I am willing to be near ice cream";
(2) "I am willing to smell ice cream";
(3) "I am willing to eat ice cream"; and
(4) "I love to eat ice cream". Agreement
with any one item implies agreement with the lower-
order items.
29
Guttman scale
The concept of Guttman scale likewise applies to series
of items in other kinds of tests, such as achievement
tests, that have binary outcomes.
For example, a test of math achievement might order
questions based on their difficulty and instruct the
examinee to begin in the middle.
30
Guttman scale
The assumption is if the examinee can successfully
answer items of that difficulty (e.g., summing two 3-
digit numbers), s/he would be able to answer the
earlier questions (e.g., summing two 2-digit numbers).
Some achievement tests are organized in a Guttman
scale to reduce the duration of the test.
31
Visual Analog Scale (VAS)
• Used to measure subjective experiences (e.g., pain,
nausea)
• Measurements are on a straight line measuring 100
mm
• End points labeled as extreme limits of sensation
32
Example of Visual Analog Scale
33
Response Set Biases
• Biases reflecting the tendency of some people to
respond to items in characteristic ways, independently
of item content
• Examples:
– Social desirability response set bias – answer in a
way that is socially acceptable
– Extreme response set – answer to shock the
researcher
– Acquiescence response set (yea- sayers) – answer
to please researcher (agree)
– Nay-sayers response set – answer to disagree or
antagonize researcher
34
Evaluation of Self-Reports
• Strong on directness
• Allows access to information otherwise not available
to researchers
• But can we be sure participants actually feel or act the
way they say they do?
35
ACCURACY, PRECISION, AND
ERROR OF PHYSIOLOGICAL
MEASURES
36
Accuracy
Accuracy is comparable to validity in that it addresses
the extent to which the instrument measures what it is
supposed to measure in a study (Ryan-Wenger, 2010).
For example, oxygen saturation measurements with
pulse oximetry are considered comparable with
measures of oxygen saturation with arterial blood gases.
Because pulse oximetry is an accurate measure of
oxygen saturation, it has been used in studies because it
is easier, less expensive, less painful, and less invasive
for research participants. 37
Precision
Precision is the degree of consistency or reproducibility
of measurements made with physiological instruments.
Precision is comparable to reliability.
The precision of most physiological equipment depends
on following the manufacturer’s instructions for care
and routine testing of the equipment. Test-retest
reliability is appropriate for physiological variables that
have minimal fluctuations, such as cholesterol (lipid)
levels, bone mineral density, or weight of adults (Ryan-
Wenger, 2010).
38
Precision
Test-retest reliability can be inappropriate if the
variables’ values frequently fluctuate with various
activities, such as with pulse, respirations, and BP.
However, test-retest is a good measure of precision if
the measurements are taken in rapid succession.
For example, the national BP guidelines encourage
taking three BP readings 1 to 2 minutes apart and then
averaging them to obtain the most precise and accurate
measure of BP.
39
Error
Sources of error in physiological measures can be
grouped into the following five categories:
I. environment,
II. user,
III. subject,
IV. equipment, and
V. interpretation.
40
Error
The environment affects the equipment
and subject. Environmental factors might include
temperature, barometric pressure, and static electricity.
User errors are caused by the person using the
equipment and may be associated with variations by the
same user, different users, or changes in supplies or
procedures used to operate the equipment.
Subject errors occur when the subject alters the
equipment or the equipment alters the subject.
In some cases, the equipment may not be used to its full
capacity. 41
Error
Equipment error may be related to calibration or the
stability of the equipment. Signals transmitted from the
equipment are also a source of error and can result in
misinterpretation.
Researchers need to report the protocols followed or
steps taken to prevent errors in their physiological and
biochemical measures in their published studies
42
Critiquing Measurement & Data
Collection
• Labeled: Methods, Measurement, Instruments
• Report on reliability/validity when instrument was
used in the past and on the population of this study
• Remember instruments should be re-evaluated if used
in different populations, for a different problem or in
a different setting.
• If a new instrument is used – a pilot study should
have been done to test reliability/validity
• Usually best to use a proven tool than try to develop a
new instrument
43
Critiquing Measurement & Data
Collection (Cont.)
• Methods; Procedures are specific enough for
replication
• Researcher should identify if primary/secondary
data used
• What was collected, how, who – training?
• Psychometric properties are identified for the
instruments used (reliability & validity)
• If psychometric properties not identified the
method of instrument development & testing is
described
44
SAMPLE & POPULATION
Sampling involves selecting a group of people,
events, objects, or other elements with which to
conduct a study.
A sampling method or plan defines the selection
process, and the sample defines the selected
group of people (or elements).
A sample selected in a study should represent an
identified population of people.
Sampling…
The process of selecting a number of
individuals for a study in such a way that
the individuals represent the larger group
from which they were selected
46
SAMPLING…….
47
TARGET POPULATION
STUDY POPULATION
SAMPLE
 A sample is ―a smaller (but hopefully
representative) collection of units from a
population used to determine truths about that
population‖
 The sampling frame
A list of all elements or other units containing the
elements in a population.
48
Population…
The larger group from which
individuals are selected to
participate in a study
49
The population is a particular group of
individuals or elements, such as people with type
2 diabetes, who are the focus of the research.
The target population is the entire set of
individuals or elements who meet the sampling
criteria such as female, 18 years of age or older,
new diagnosis of type 2 diabetes confirmed by
the medical record, and not on insulin.
Target population
A set of elements larger than or different
from the population sampled and to which
the researcher would
like to generalize
study findings.
51
52
The purpose of sampling…
• To gather data about the population in
order to make an inference that can be
generalized to the population
53
Define the target population
Select a sampling frame
Conduct fieldwork
Determine if a probability or nonprobability
sampling method will be chosen
Plan procedure for selecting
sampling units
Determine sample size
Select actual sampling units
Stages in the
Selection
of a Sample
54
WHAT IS SAMPLE SIZE?
• This is the sub-population to be studied in order to
make an inference to a reference population(A
broader population to which the findings from a
study are to be generalized)
• In census, the sample size is equal to the
population size. However, in research, because of
time constraint and budget, a representative
sample are normally used.
• The larger the sample size the more accurate the
findings from a study.
55
• Availability of resources sets the upper limit of
the sample size.
• While the required accuracy sets the lower
limit of sample size
• Therefore, an optimum sample size is an
essential component of any research.
56
57
SAMPLE SIZE DETERMINATION
58
PROCEDURE FOR CALCULATING SAMPLE
SIZE.
There are four procedures that could be used for
calculating sample size:
1. Use of formulae
2. Ready made table
3. Computer software
59
USE OF FORMULAE FOR SAMPLE SIZE
CALCULATION & POWER ANALYSIS
 There are many formulae for calculating sample
size & power in different situations for different
study designs.
 The appropriate sample size for population-based
study is determined largely by 3 factors
1. The estimated prevalence of the variable of
interest.
2. The desired level of confidence.
3. The acceptable margin of error.
60
 To calculate the minimum sample size required for accuracy, in
estimating proportions, the following decisions must be taken:
1. Decide on a reasonable estimate of key proportions (p) to be
measured in the study
2. Decide on the degree of accuracy (d) that is desired in the
study. ~1%-5% or 0.01 and 0.05
3. Decide on the confidence level(Z) you want to use. Usually
95%≡1.96.
4. Determine the size (N) of the population that the sample is
supposed to represent.
5. Decide on the minimum differences you expect to find
statistical significance.
61
1. Cochran’s Formula
 For population >10,000. (When population is unknown)
n=Z2pq/e2
n= desired sample size(when the population>10,000)
Z=standard normal deviate; usually set at 1.96(or a~2), which
correspond to 95% confidence level.
p=proportion in the target population estimated to have a
particular characteristics. If there is no reasonable estimate, use
50%(i.e 0.5)
q=1-p(proportion in the target population not having the
particular characteristics)
e= degree of accuracy required, usually set at 0.05 level
62
• E.g if the proportion of a target population with
certain characteristics is 0.50, Z statistics is 1.96
& we desire accuracy at 0.05 level, then the
sample size is
n=(1.962)(0.5)(0.5)/0.052
n=384.
63
If study population is < 10,000 or sample size is
greater than population than adjust the sample.
nf=n/1+(n)/(N)
nf= adjusted sample size, when study population
<10,000
n= desired sample size, when the study
population > 10,000
N= estimate of the population size
64
Example, if n were found to be 400 and if the
population size were estimated at 1000, then nf
will be calculated as follows
nf= 400/1+400/1000
nf= 400/1.4
nf=286
65
2. Slovin’s Formula
When population is known.
It is used to calculate the sample size (n) given the
population size (N) and a margin of error (e).
It is computed as n = N / (1+Ne2).
whereas:
• n = no. of samples
• N = total population
• e = error margin / margin of error
66
To use the formula, first figure out what you want your error of
tolerance to be. For example, you may be happy with a
confidence level of 95 percent (giving a margin error of 0.05),
or you may require a tighter accuracy of a 98 percent
confidence level (a margin of error of 0.02). Plug your
population size and required margin of error into the formula.
The result will be the number of samples you need to take.
In research methodology, for example N=1000 and e=0.05
n = 1000 / (1 + 1000 * 0.5²)
n = 1000 / (1 + 250)
n = 3.984063745 = 4 samplings
67
USE OF READYMADE TABLE FOR SAMPLE
SIZE CALCULATION
 How large a sample of patients should be followed up
if an investigator wishes to estimate the incidence rate
of a disease to within 10% of it’s true value with 95%
confidence?
 The table show that for e=0.10 & confidence level of
95%, a sample size of 385 would be needed.
 This table can be used to calculate the sample size
making the desired changes in the relative precision &
confidence level e.g if the level of confidence is
reduce to 90%, then the sample size would be 271.
 Such table that give ready made sample sizes are
available for different designs & situation
68
69
USE OF COMPUTER SOFTWARE FOR SAMPLE
SIZE CALCULATION & POWER ANALYSIS
The following software can be used for calculating
sample size & power;
Epi-info
nQuerry
STATA
SPSS
70
References
Polit, D. F., & Beck, C. T. (2017). Nursing research:
Generating and Assessing Evidence for Nursing
Practice (10th ed.). Philadelphia: Lippincott
Williams & Wilkins.
Polit, D. F., & Beck, C. T. (2006). Essential of nursing
research: Methods, appraisal, & utilization.
(6thed.). Philadelphia: Lippincott.
71

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unit 5 Data Collection and Measurements

  • 1. UNIT 5 (a): METHODOLOGY Measurement & Data Collection Populations & Samples Ms. Chanda Jabeen Lecturer RN, RM, BSN M.Phil. Epidemiology & Public Health PhD (Scholar) Epidemiology & Public Health 1
  • 2. OBJECTIVES At the end of this session the students will be able to: • Describe evaluation of observational methods. • Discuss types of questions. • Enlist Composite Psychosocial Scales. • Explain Likert scale. • Explain Semantic Differential Scales • Explain Guttman Scale • Explain Accuracy, Precision & Error • Discuss Sampling & Population. • Explain calculation of sample size. 2
  • 3. Evaluation of Observational Methods • Excellent method for capturing many clinical phenomena and behaviors • Potential problem of reactivity when people are aware that they are being observed • Risk of observational biases—factors that can interfere with objective observation 3
  • 4. Self-report • A self-report study is a type of survey, questionnaire, or poll in which respondents read the question and select a response by themselves without researcher interference. 4
  • 5. A self-report is any method which involves asking a participant about their feelings, attitudes, beliefs and so on. Examples of self-reports are questionnaires and interviews; self-reports are often used as a way of gaining participants' responses in observational studies and experiments. 5
  • 6. 6
  • 7. 7
  • 8. Structured Self-Reports (Surveys) • Data are collected with a formal instrument. – Interview schedule • Questions are prespecified but asked orally. • Either face-to-face or by telephone – Questionnaire • Questions prespecified in written form, to be self- administered by respondents 8
  • 9. Advantages of Interviews Compared with Questionnaires • Higher response rates with interviews • Usually lower costs with questionnaires • Interviews appropriate for more diverse audiences • Interviews allow more opportunities to clarify questions or to determine comprehension • Interviews allow more opportunity to collect supplementary data through observation, ie. body language • Questionnaires allow for more privacy or anonymity • Questionnaires lack interviewer bias 9
  • 10. Kinds of Questions • Knowledge questions • Opinion questions • Application questions • Analysis questions • Synthesis questions 10
  • 11. Synthesis Questions • Synthesis questions ask you to take two kinds of information and put them together… you compare them, or make conclusions based on both of them, or get new information about the reading based on learning something new. 11
  • 12. Survey Considerations • Clarity of questions • Reading level of subjects • Length of survey • Analysis method planned • Start with least threatening questions • Limit questions to a single concept • Provide well written cover letter/ instructions 12
  • 13. Types of Questions in a Structured Instrument • Closed-ended (fixed alternative) questions – ―Within the past 6 months, were you ever a member of a fitness center or gym?‖ (yes/no) • Open-ended questions – ―Why did you decide to join a fitness center or gym?‖ 13
  • 14. Specific Types of Closed-Ended Questions • Dichotomous questions – Yes/no; male/female • Multiple-choice questions • Forced-choice questions – Which statement most closely represents you view? • What happens to me in research class is my own doing • What happens to me in research class is Dr. Creel’s fault! 14
  • 15. • Cafeteria questions are a special type of multiple choice question that asks respondents to select a response that most closely corresponds to their view. The response options are usually full expressions of a position on the topic. • Rank-order questions ask respondents to rank target concepts along a continuum, such as most to least important. 15
  • 16. 16
  • 17. 17
  • 18. Composite Psychosocial Scales • Scales—used to make fine quantitative discriminations among people with different attitudes, perceptions, traits • Likert scales—summated rating scales • Semantic differential scales • Guttman scale • Visual analog scale (VAS) 18
  • 19. Likert Scales • The Likert scale is designed to determine the opinions or attitudes of study subjects. • This scale contains a number of declarative statements, with a scale after each statement. • The Likert scale is the most commonly used of the scaling techniques. • The original version of the scale included five response categories. Each response category was assigned a value, with a value of 0 or 1 given to the most negative response and a value of 4 or 5 given to the most positive response 19
  • 20. 20
  • 21. 21
  • 22. Response choices in a Likert scale usually address agreement, evaluation, or frequency. Agreement options may include statements such as strongly disagree, disagree, uncertain, agree, and strongly agree. Evaluation responses ask the respondent for an evaluative rating along a bad-good dimension, such as negative to positive or terrible to excellent. Frequency responses may include statements such as never, rarely, sometimes, frequently, and all the time. 22
  • 23. A Likert scale usually consists of 10 to 20 items, each addressing an element of the concept being measured. Usually, the values obtained from each item in the instrument are summed to obtain a single score for each subject. Although the values of each item are technically ordinal-level data, the summed score is often analyzed as interval-level data. The CES-D is a Likert scale used to assess the level of depression in patients in clinical practice and research. This scale has four response options— Rarely or none of the time (less than 1 day)¼0, Some or a little of the time (1 to 2 days)¼1, Occasionally or a moderate amount of time (3 to 4 days)¼2, and Most or all of the time (5 to 7 days)¼3. 23
  • 24. Semantic Differential Scales • Require ratings of various concepts • Rating scales involve bipolar adjective pairs, with 7-point ratings. • Ratings for each dimension are summed to compute a total score for each concept. 24
  • 25. Example of a Semantic Differential 25
  • 26. Guttman Scale • Set of items on a contiuum or statements ranging from one extreme to another. • Responses are progressive and cumulative 26
  • 27. Guttman scale examples The ideal Guttman scale is such that if the respondent disagrees, for example, with statement 4 (having agreed with statements 1 to 3) then the respondent will disagree with statement 5 and higher as these represent more extreme expressions of the attitude being investigated. For example, a series of items on attitude could be • "I am willing to be near a cat" • "I am willing to have a cat" • "I love to have a cat" • "I am willing to touch a cat" 27
  • 28. 28
  • 29. Guttman scale On a Guttman scale, items are arranged in an order so that an individual who agrees with a particular item also agrees with items of lower rank-order. For example, a series of items could be (1) "I am willing to be near ice cream"; (2) "I am willing to smell ice cream"; (3) "I am willing to eat ice cream"; and (4) "I love to eat ice cream". Agreement with any one item implies agreement with the lower- order items. 29
  • 30. Guttman scale The concept of Guttman scale likewise applies to series of items in other kinds of tests, such as achievement tests, that have binary outcomes. For example, a test of math achievement might order questions based on their difficulty and instruct the examinee to begin in the middle. 30
  • 31. Guttman scale The assumption is if the examinee can successfully answer items of that difficulty (e.g., summing two 3- digit numbers), s/he would be able to answer the earlier questions (e.g., summing two 2-digit numbers). Some achievement tests are organized in a Guttman scale to reduce the duration of the test. 31
  • 32. Visual Analog Scale (VAS) • Used to measure subjective experiences (e.g., pain, nausea) • Measurements are on a straight line measuring 100 mm • End points labeled as extreme limits of sensation 32
  • 33. Example of Visual Analog Scale 33
  • 34. Response Set Biases • Biases reflecting the tendency of some people to respond to items in characteristic ways, independently of item content • Examples: – Social desirability response set bias – answer in a way that is socially acceptable – Extreme response set – answer to shock the researcher – Acquiescence response set (yea- sayers) – answer to please researcher (agree) – Nay-sayers response set – answer to disagree or antagonize researcher 34
  • 35. Evaluation of Self-Reports • Strong on directness • Allows access to information otherwise not available to researchers • But can we be sure participants actually feel or act the way they say they do? 35
  • 36. ACCURACY, PRECISION, AND ERROR OF PHYSIOLOGICAL MEASURES 36
  • 37. Accuracy Accuracy is comparable to validity in that it addresses the extent to which the instrument measures what it is supposed to measure in a study (Ryan-Wenger, 2010). For example, oxygen saturation measurements with pulse oximetry are considered comparable with measures of oxygen saturation with arterial blood gases. Because pulse oximetry is an accurate measure of oxygen saturation, it has been used in studies because it is easier, less expensive, less painful, and less invasive for research participants. 37
  • 38. Precision Precision is the degree of consistency or reproducibility of measurements made with physiological instruments. Precision is comparable to reliability. The precision of most physiological equipment depends on following the manufacturer’s instructions for care and routine testing of the equipment. Test-retest reliability is appropriate for physiological variables that have minimal fluctuations, such as cholesterol (lipid) levels, bone mineral density, or weight of adults (Ryan- Wenger, 2010). 38
  • 39. Precision Test-retest reliability can be inappropriate if the variables’ values frequently fluctuate with various activities, such as with pulse, respirations, and BP. However, test-retest is a good measure of precision if the measurements are taken in rapid succession. For example, the national BP guidelines encourage taking three BP readings 1 to 2 minutes apart and then averaging them to obtain the most precise and accurate measure of BP. 39
  • 40. Error Sources of error in physiological measures can be grouped into the following five categories: I. environment, II. user, III. subject, IV. equipment, and V. interpretation. 40
  • 41. Error The environment affects the equipment and subject. Environmental factors might include temperature, barometric pressure, and static electricity. User errors are caused by the person using the equipment and may be associated with variations by the same user, different users, or changes in supplies or procedures used to operate the equipment. Subject errors occur when the subject alters the equipment or the equipment alters the subject. In some cases, the equipment may not be used to its full capacity. 41
  • 42. Error Equipment error may be related to calibration or the stability of the equipment. Signals transmitted from the equipment are also a source of error and can result in misinterpretation. Researchers need to report the protocols followed or steps taken to prevent errors in their physiological and biochemical measures in their published studies 42
  • 43. Critiquing Measurement & Data Collection • Labeled: Methods, Measurement, Instruments • Report on reliability/validity when instrument was used in the past and on the population of this study • Remember instruments should be re-evaluated if used in different populations, for a different problem or in a different setting. • If a new instrument is used – a pilot study should have been done to test reliability/validity • Usually best to use a proven tool than try to develop a new instrument 43
  • 44. Critiquing Measurement & Data Collection (Cont.) • Methods; Procedures are specific enough for replication • Researcher should identify if primary/secondary data used • What was collected, how, who – training? • Psychometric properties are identified for the instruments used (reliability & validity) • If psychometric properties not identified the method of instrument development & testing is described 44
  • 45. SAMPLE & POPULATION Sampling involves selecting a group of people, events, objects, or other elements with which to conduct a study. A sampling method or plan defines the selection process, and the sample defines the selected group of people (or elements). A sample selected in a study should represent an identified population of people.
  • 46. Sampling… The process of selecting a number of individuals for a study in such a way that the individuals represent the larger group from which they were selected 46
  • 48.  A sample is ―a smaller (but hopefully representative) collection of units from a population used to determine truths about that population‖  The sampling frame A list of all elements or other units containing the elements in a population. 48
  • 49. Population… The larger group from which individuals are selected to participate in a study 49
  • 50. The population is a particular group of individuals or elements, such as people with type 2 diabetes, who are the focus of the research. The target population is the entire set of individuals or elements who meet the sampling criteria such as female, 18 years of age or older, new diagnosis of type 2 diabetes confirmed by the medical record, and not on insulin.
  • 51. Target population A set of elements larger than or different from the population sampled and to which the researcher would like to generalize study findings. 51
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  • 53. The purpose of sampling… • To gather data about the population in order to make an inference that can be generalized to the population 53
  • 54. Define the target population Select a sampling frame Conduct fieldwork Determine if a probability or nonprobability sampling method will be chosen Plan procedure for selecting sampling units Determine sample size Select actual sampling units Stages in the Selection of a Sample 54
  • 55. WHAT IS SAMPLE SIZE? • This is the sub-population to be studied in order to make an inference to a reference population(A broader population to which the findings from a study are to be generalized) • In census, the sample size is equal to the population size. However, in research, because of time constraint and budget, a representative sample are normally used. • The larger the sample size the more accurate the findings from a study. 55
  • 56. • Availability of resources sets the upper limit of the sample size. • While the required accuracy sets the lower limit of sample size • Therefore, an optimum sample size is an essential component of any research. 56
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  • 59. PROCEDURE FOR CALCULATING SAMPLE SIZE. There are four procedures that could be used for calculating sample size: 1. Use of formulae 2. Ready made table 3. Computer software 59
  • 60. USE OF FORMULAE FOR SAMPLE SIZE CALCULATION & POWER ANALYSIS  There are many formulae for calculating sample size & power in different situations for different study designs.  The appropriate sample size for population-based study is determined largely by 3 factors 1. The estimated prevalence of the variable of interest. 2. The desired level of confidence. 3. The acceptable margin of error. 60
  • 61.  To calculate the minimum sample size required for accuracy, in estimating proportions, the following decisions must be taken: 1. Decide on a reasonable estimate of key proportions (p) to be measured in the study 2. Decide on the degree of accuracy (d) that is desired in the study. ~1%-5% or 0.01 and 0.05 3. Decide on the confidence level(Z) you want to use. Usually 95%≡1.96. 4. Determine the size (N) of the population that the sample is supposed to represent. 5. Decide on the minimum differences you expect to find statistical significance. 61
  • 62. 1. Cochran’s Formula  For population >10,000. (When population is unknown) n=Z2pq/e2 n= desired sample size(when the population>10,000) Z=standard normal deviate; usually set at 1.96(or a~2), which correspond to 95% confidence level. p=proportion in the target population estimated to have a particular characteristics. If there is no reasonable estimate, use 50%(i.e 0.5) q=1-p(proportion in the target population not having the particular characteristics) e= degree of accuracy required, usually set at 0.05 level 62
  • 63. • E.g if the proportion of a target population with certain characteristics is 0.50, Z statistics is 1.96 & we desire accuracy at 0.05 level, then the sample size is n=(1.962)(0.5)(0.5)/0.052 n=384. 63
  • 64. If study population is < 10,000 or sample size is greater than population than adjust the sample. nf=n/1+(n)/(N) nf= adjusted sample size, when study population <10,000 n= desired sample size, when the study population > 10,000 N= estimate of the population size 64
  • 65. Example, if n were found to be 400 and if the population size were estimated at 1000, then nf will be calculated as follows nf= 400/1+400/1000 nf= 400/1.4 nf=286 65
  • 66. 2. Slovin’s Formula When population is known. It is used to calculate the sample size (n) given the population size (N) and a margin of error (e). It is computed as n = N / (1+Ne2). whereas: • n = no. of samples • N = total population • e = error margin / margin of error 66
  • 67. To use the formula, first figure out what you want your error of tolerance to be. For example, you may be happy with a confidence level of 95 percent (giving a margin error of 0.05), or you may require a tighter accuracy of a 98 percent confidence level (a margin of error of 0.02). Plug your population size and required margin of error into the formula. The result will be the number of samples you need to take. In research methodology, for example N=1000 and e=0.05 n = 1000 / (1 + 1000 * 0.5²) n = 1000 / (1 + 250) n = 3.984063745 = 4 samplings 67
  • 68. USE OF READYMADE TABLE FOR SAMPLE SIZE CALCULATION  How large a sample of patients should be followed up if an investigator wishes to estimate the incidence rate of a disease to within 10% of it’s true value with 95% confidence?  The table show that for e=0.10 & confidence level of 95%, a sample size of 385 would be needed.  This table can be used to calculate the sample size making the desired changes in the relative precision & confidence level e.g if the level of confidence is reduce to 90%, then the sample size would be 271.  Such table that give ready made sample sizes are available for different designs & situation 68
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  • 70. USE OF COMPUTER SOFTWARE FOR SAMPLE SIZE CALCULATION & POWER ANALYSIS The following software can be used for calculating sample size & power; Epi-info nQuerry STATA SPSS 70
  • 71. References Polit, D. F., & Beck, C. T. (2017). Nursing research: Generating and Assessing Evidence for Nursing Practice (10th ed.). Philadelphia: Lippincott Williams & Wilkins. Polit, D. F., & Beck, C. T. (2006). Essential of nursing research: Methods, appraisal, & utilization. (6thed.). Philadelphia: Lippincott. 71