Aprioristic factors ranking considered in the development of special clothing for workers of oil industry

Fact ors

Cut

Color

Kit of special clothing

Fabrics

Hygienic properties

Dangerous harmful industrial factors

Wearing factors

1

2

3

4

5

6

7

^xi

Straight

Red

Jacket and trousers

Fire retardant fabrics

Airpermeability

Oil

Tear

^x2

Semifitting

Vinous

Jacket and short overalls

Antistatic fabrics

Hygroscopicity

Dust

Abrading

^x3

Closefitting

Blue

Overalls and jacket

Thermofireprooffabrics

Watertightness

Static electricity

Washing

№

Factors

Conditional numbers of experts

Sum of ranks

Bias of the sum ranks, A i

Squares of deviations, A 2

1

2

3

4

5

6

7

8

9

1 0

1

х 1

1

1

1

1

1

2

1

1

1

1

11

-9

81

х 2

2

3

2

2

3

1

3

2

2

2

22

2

4

х 3

3

2

3

3

2

3

2

3

3

3

27

7

49

TotaV^aij = 602™^ = 60/3=20

S=134

2

х i

2

1

1

1

1

1

1

1

1

1

11

-9

81

х 2

1

3

2

2

3

3

3

3

2

2

24

4

16

х 3

3

2

3

3

2

2

2

2

3

3

25

5

25

TotaL^ay = 602™^ = 60/3=20

S=122

3

х i

2

2

3

2

1

3

2

3

3

2

23

3

9

х 2

1

1

1

1

2

1

1

1

1

1

11

-9

81

х 3

3

3

2

3

3

2

3

2

2

3

26

6

36

Total:2⁷ L ₁a_ij = 602⁷ =^ = 60/3=20

S=126

4

х 1

1

1

1

1

1

1

1

1

1

1

10

-10

100

х 2

2

2

2

2

2

2

2

2

3

2

21

1

1

х 3

3

3

3

3

3

3

3

3

2

3

29

9

81

Total:2⁷ L ₁a_ij = 602™₁ ^^ = 60/3=20

S=182

5

х 1

1

1

1

2

1

1

1

1

1

2

12

-8

64

х 2

3

3

2

1

3

3

3

3

2

3

26

6

36

х 3

2

2

3

3

2

2

2

2

3

1

22

2

4

Total:2™₁ a _tj = 602™^ = 60/3=20

S=104

6

х 1

1

1

1

1

1

1

1

1

1

1

10

-10

100

х 2

2

2

3

2

2

2

2

2

3

2

22

2

4

х 3

3

3

2

3

3

3

3

3

2

3

28

8

64

Total:2™₁ ац = 602™^ = 60/3=20

S=168

7

х 1

2

2

3

2

2

2

2

2

3

3

23

3

9

х 2

1

1

1

1

1

1

1

1

1

2

11

-9

81

х 3

3

3

2

3

3

3

3

3

2

1

26

6

36

Total:2™₁ a _tj = 602™^ = 60/3=20

S=126

The obtained results of the mathematical           The significance of the concordance

processing of the matrix of ranks assess the      coefficient is checked by Pearson criterion which

degree of consensus of experts using the      is calculated by the formula:

concordance coefficient W:                           / p =m(n-1)xW,                            (2)

W= ₂ ¹² ^ ^s —,                     (1)              Taking into account the 5% significance

^{m (n n)}                                  level and the number of degrees of freedom f =

whereS – sum of squared deviations;

M - the number of experts;                     9,^{table value} criteria ^z2 = ¹⁶.92. ^Since all o^{f the}

N - the number of estimated factors.            calculated values ^of Pearson criterion Z p ^{2 are}

Concordance coefficient evaluates the     ^{more than table one} Z ² , ^{we can} assume that the

degree of consensus of experts on ranking and      ^opiⁿi^{ons o}f ^exp^ert^{s are a}g^ree.

varies from 0 to 1. In this case we can assume            Iⁿ thi^{s case} th^{e o}bt^ai^ned ^coeffi^ci^ent^{s an}d

that between the opinions of experts has some      values z p are presented in Table 3.

agreement, because the coefficient of concordance is different from zero.

Table 3 - The values of the coefficient of concordance W and Pearson criterion/ 2