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Chi Square Tests PhD  Özgür Chi Square Tests PhD  Özgür

Chi Square Tests PhD Özgür - PowerPoint Presentation

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Chi Square Tests PhD Özgür - PPT Presentation

Tosun IMPORTANCE OF EVIDENCE BASED MEDICINE The Study Objective To determine the quality of health recommendations and claims made on popular medical talk shows Sources Internationally syndicated medical television talk shows that air daily The ID: 918056

table test total expected test table expected total age recommendations square chi contingency frequencies evidence show variables observed samples

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Slide1

Chi Square Tests

PhD

Özgür

Tosun

Slide2

IMPORTANCE OF EVIDENCE BASED MEDICINE

Slide3

Slide4

The

Study

Objective

:

To determine the quality of health recommendations and

claims

made on popular medical talk shows.

Sources

:

Internationally syndicated medical television talk shows that air daily (The

Dr

Oz Show and The Doctors).

Interventions

:

Investigators randomly selected 40 episodes of each of The

Dr

Oz Show and The Doctors from early 2013 and identified and evaluated all recommendations made on each program. A group of experienced evidence reviewers independently searched for, and evaluated as a team, evidence to support 80 randomly selected recommendations from each show.

Main outcomes

measures:

Percentage of recommendations that are supported by evidence as determined by a team of experienced evidence reviewers.

Slide5

Slide6

Results

On average, The

Dr

Oz Show had 12 recommendations per episode and The Doctors 11.

At

least a case study or better evidence to support 54% (95% confidence interval 47% to 62%) of the 160 recommendations (80 from each show).

For

recommendations in The

Dr

Oz Show, evidence supported 46%, contradicted 15%, and was not found for 39%.

For

recommendations in The Doctors, evidence supported 63%, contradicted 14%, and was not found for 24%.

The

most common recommendation category on The

Dr

Oz Show was dietary advice (39%) and on The Doctors was to consult a healthcare provider (18%).

The

magnitude of benefit was described for 17% of the recommendations on The

Dr

Oz Show and 11% on The

Doctors

Slide7

Conclusions

Recommendations

made on medical talk shows often lack adequate information on specific benefits or the magnitude of the effects of these benefits.

Approximately

half of the recommendations have either no evidence or are contradicted by the best available evidence

.

The

public should be skeptical about recommendations made on medical talk shows.

Slide8

A Fictional

Answer

for

a

R

andom

Dr.

Oz’s

Recommendation

Dr

Oz:

"

Saturated fat is solid at room temperature, so that means it's solid inside your body."

Patient:

Thanks

, Dr. Oz. You give the best advice.

Carrots are very hard and dense, so they'll

petrify (transform into stone)

your body, turning you into an orange

statue. Am

I doing it right?

Slide9

Slide10

Pull

down

that

bread

,

kiddo

!!!

Slide11

CATEGORICAL

ONE SAMPLE

TWO SAMPLES

>2 SAMPLES

Slide12

CATEGORICAL

ONE SAMPLE

TWO SAMPLES

>2 SAMPLES

Independent

Paired

Independent

Slide13

CATEGORICAL

ONE SAMPLE

TWO SAMPLES

>2 SAMPLES

Independent

Paired

Independent

2 x 2

Chi

Square

Test

Mc

Nemar

Test

N x M

Chi

Square

Test

One

Sample

Chi

Square

Test

Fisher’s

Exact

Test

Nonparametric

One

sample

difference

of

proportions

test

Parametric

Slide14

Cross Table (

Contingency

Table

)

enables showing two or more variables simultaneously in table format

a table of counts cross-classified according to categorical

variables

best way to include sub-group descriptive statistics

simplest contingency table is a 2 x 2 table

is good for demonstrating possible relationships among variables

Slide15

Cross Table (Contingency

Table

)

An r

X

c contingency table shows the observed frequencies for two variables.

The

observed frequencies are arranged in r rows and c columns.

The

intersection of a row and a column is called a cell

Slide16

Slide17

Misreading the Table

it is important to correctly read the information given in a table

although the original data do not change at all, tables can be arranged in several different views

looking at the table does not necessarily show the reader about possible relationships among variables

in order to decide on the existence of relationship, «

statistical hypothesis testing

» is required

Slide18

Slide19

Slide20

Slide21

Observed

versus

Expected

In

a

cross

tabulation

,

the

actual

numbers

in

the

cells

of the table are

called the observed valuesObserved Frequencies are obtained empirically through direct observationTheoretical, or Expected Frequencies

are developed on the basis of some hypothesis

Slide22

Expected

Frequencies

Assuming the two variables are independent, you can use the contingency table to find the expected frequency for each cell.

Finding the Expected Frequency for Contingency Table Cells

The expected frequency for a cell

E

r,c

in a contingency table is

Slide23

Example

:

Find the expected frequency for each “Male” cell in the contingency table for the sample of 321

individuals

.

Assume that the variables, age and gender, are independent.

105

6

10

21

33

22

13

Female

16

10

61 and older

321

38

64

85

73

45

Total

216

28

43

52

51

32

Male

Total

51 – 60

41 – 50

31 – 40

21 – 30

16 – 20

Gender

Age

Slide24

Expected Frequency

Example continued

:

105

6

10

21

33

22

13

Female

16

10

61 and older

321

38

64

85

73

45

Total

216

28

43

52

51

32

Male

Total

51 – 60

41 – 50

31 – 40

21 – 30

16 – 20

Gender

Age

Slide25

Chi-Square Independence Test

A chi-square independence test is used to test the independence of two variables.

Using

a chi-square test, you can determine whether the occurrence of one variable affects the probability of the occurrence of the other variable.

For the chi-square independence test to be used, the following must be true.

The observed frequencies must be obtained by using a random sample.

Each expected frequency must be greater than or equal to 5.

Slide26

Chi-Square Independence Test

We are looking for significant differences between the

observed

frequencies

in a table (

f

o

) and those that would be

expected

by random chance (

f

e

)

Slide27

2 x 2 Chi

Square

df = (r-1)(c-1)=1

+

-

1

O

11

2

Total

N

First criteria

Total

Second

Criteria

O

12

O

21

O

22

O

.1

O

.2

O

1

.

O

2.

E

ij

should be greater than or equal to 5.

Slide28

Is

squi

n

t more

common among children with a positive family history?

Is there an association between squint and family history of squint?

+

-

+

20

3

0

50

-

15

55

70

Total

35

85

120

Squint

(

Şaşılık

)

Total

Family

History

2

(1,0.025)

=5.024 > 4.869. Accept H

0

.

There is no relation between squint and family history

14.58

35.42

20.42

49.58

Slide29

Attention

In

2 X 2

contingency

tables

,

i

f

any expected frequencies are less than 5, then alternative procedure to called Fisher’s Exact Test should be performed.

Slide30

An Example

A study was conducted to analyze the relation between coronary heart disease (CHD) and smoking. 40 patients with CHD and 50 control subjects were randomly selected from the records and smoking habits of these subjects were examined. Observed values are as follows:

Slide31

Observed and

expected

frequencies

+

-

Yes

No

Total

90

Smoking

Total

CHD

30

4

46

14

76

40

50

10

6.2

33.8

7.8

42.2

Slide32

df

= (r-1)(c-1)=(2-1)(2-1)=1

2

(1,0.05)

=

3

.

841

Conclusion: There is a relation between CHD and smoking.

2

=

4. 9

5

>

reject

H

0

Slide33

Slide34

An Example for Fisher’s Exact Test

Research question: does positive BRCA1 gene actually affects the occurrence of breast cancer?

Slide35

Since the percentage of the cells which have expected count < 5 is 50%, Fisher’s exact test should be applied.

According to Fisher’s test, p value is 0.070

p>α

Fail to reject H

0

BRCA1 gene has no affect on breast cancer

Slide36

McNemar Test

35 patients were evaluated for arrhythmia with two different medical devices. Is there any statistically significant difference between the diagnose of two devices?

Device I

Device II

Total

Arrhythmia

(+)

Arrhythmia

(-)

Arrhythmia

(+)

10

3

13

Arrhythmia

(-)

13

9

22

Total

23

12

35

Slide37

The

significance

test

for

the

difference

between

two

dependent

population

/

McNemar

test

H0

: P1=P2 Ha: P1 P

2

Critical z value is ±1.96 Reject H

0

Slide38

McNemar

test

approach

:

2

(1,0.05)

=

3.841<5.1 p<0.05

;

reject

H

0

.

Slide39

Evaluation of

a

rrhythmia

patients using these two devices will provide significantly different results. Further research is required to understand which one is better for diagnosis.

Slide40

A

researcher

wants

to

know

whether

the

mothers

age

is

affecting

the

probability of having

congenital abnormality of neonatals or not. The

collected data is given in the table:

Congenital

abnormality

Total

Present

Absent

Age

groups

≤25

3

22

25

26-35

8

34

42

>35

18

16

34

Total

29

72

101

N

x

M

Chi

Square

Slide41

H

0

:

There

is no

relation

between

the

age

of

mother

and

presence of

congenital

abnormality

.Under the

assumption that null hypothesis is

true:(Expected count)

Congenital

abnormality

Present

Absent

Age

groups

≤25

3

(7.2)

22

(17.8)

26-35

8

(12.1)

34

(29.9)

>35

18

(9.8)

16

(24.2)

Slide42

Reject

H

0

Slide43

Congenital

abnormality

χ

2

Present

Absent

Age

groups

≤25

3

(7.2)

22

(17.8)

3.44

26-35

8

(12.1)

34

(29.9)

1,95

>35

18

(9.8)

16

(24.2)

9,64

Omit

the

>35

age

group

Slide44

Congenital

abnormality

Present

Absent

Age

groups

≤25

3

22

26-35

8

34

H

0

is

accepted

Slide45

At the end of the analysis, we should conclude that the risk of having a baby with congenital abnormality is significantly higher for >35 age group.

However, risk is not differing significantly between <= 25 age group and 26-35 age group

Slide46

Slide47

Attention

In

N x M

contingency

tables

,

i

f

the

proportion

of

cells

those

have

expe

cted

frequencies less

than 5 is above 20%, then it is not possible

to perform any statistical analysis

Slide48

EXAMPLE

: Researcher wants to know if there is any significant difference among education groups in terms of their alcohol consumption rates

Slide49

At the end of the analysis, since the proportion of cells which have expected count <5 is 50%, we must conclude that this hypothesis cannot be tested under this circumstances. The samples size in the study is not high enough.

Calculated p value is not valid.