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DBILITY
왜도,첨도 계산해 보기 본문
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간만에 MS워드 수식도 입력해 보고 이것참...
WITH T1 (ACTVALUE) AS (
SELECT 0.529 FROM DUAL UNION ALL
SELECT 0.55 FROM DUAL UNION ALL
SELECT 0.555 FROM DUAL UNION ALL
SELECT 0.541 FROM DUAL UNION ALL
SELECT 0.559 FROM DUAL UNION ALL
SELECT 0.543 FROM DUAL UNION ALL
SELECT 0.557 FROM DUAL UNION ALL
SELECT 0.559 FROM DUAL UNION ALL
SELECT 0.581 FROM DUAL UNION ALL
SELECT 0.551 FROM DUAL UNION ALL
SELECT 0.493 FROM DUAL UNION ALL
SELECT 0.534 FROM DUAL UNION ALL
SELECT 0.527 FROM DUAL UNION ALL
SELECT 0.511 FROM DUAL UNION ALL
SELECT 0.565 FROM DUAL UNION ALL
SELECT 0.559 FROM DUAL UNION ALL
SELECT 0.519 FROM DUAL UNION ALL
SELECT 0.562 FROM DUAL UNION ALL
SELECT 0.551 FROM DUAL UNION ALL
SELECT 0.53 FROM DUAL UNION ALL
SELECT 0.545 FROM DUAL UNION ALL
SELECT 0.588 FROM DUAL UNION ALL
SELECT 0.544 FROM DUAL UNION ALL
SELECT 0.561 FROM DUAL UNION ALL
SELECT 0.573 FROM DUAL UNION ALL
SELECT 0.607 FROM DUAL UNION ALL
SELECT 0.532 FROM DUAL UNION ALL
SELECT 0.562 FROM DUAL UNION ALL
SELECT 0.542 FROM DUAL UNION ALL
SELECT 0.549 FROM DUAL UNION ALL
SELECT 0.577 FROM DUAL UNION ALL
SELECT 0.526 FROM DUAL UNION ALL
SELECT 0.546 FROM DUAL UNION ALL
SELECT 0.557 FROM DUAL UNION ALL
SELECT 0.548 FROM DUAL UNION ALL
SELECT 0.546 FROM DUAL UNION ALL
SELECT 0.56 FROM DUAL UNION ALL
SELECT 0.53 FROM DUAL UNION ALL
SELECT 0.564 FROM DUAL UNION ALL
SELECT 0.514 FROM DUAL UNION ALL
SELECT 0.527 FROM DUAL UNION ALL
SELECT 0.545 FROM DUAL UNION ALL
SELECT 0.513 FROM DUAL UNION ALL
SELECT 0.557 FROM DUAL UNION ALL
SELECT 0.525 FROM DUAL UNION ALL
SELECT 0.557 FROM DUAL UNION ALL
SELECT 0.559 FROM DUAL UNION ALL
SELECT 0.529 FROM DUAL UNION ALL
SELECT 0.539 FROM DUAL UNION ALL
SELECT 0.591 FROM DUAL UNION ALL
SELECT 0.538 FROM DUAL UNION ALL
SELECT 0.557 FROM DUAL UNION ALL
SELECT 0.517 FROM DUAL UNION ALL
SELECT 0.521 FROM DUAL UNION ALL
SELECT 0.568 FROM DUAL UNION ALL
SELECT 0.544 FROM DUAL UNION ALL
SELECT 0.55 FROM DUAL UNION ALL
SELECT 0.562 FROM DUAL UNION ALL
SELECT 0.54 FROM DUAL UNION ALL
SELECT 0.537 FROM DUAL UNION ALL
SELECT 0.558 FROM DUAL UNION ALL
SELECT 0.548 FROM DUAL UNION ALL
SELECT 0.532 FROM DUAL UNION ALL
SELECT 0.57 FROM DUAL UNION ALL
SELECT 0.567 FROM DUAL UNION ALL
SELECT 0.56 FROM DUAL UNION ALL
SELECT 0.533 FROM DUAL UNION ALL
SELECT 0.538 FROM DUAL UNION ALL
SELECT 0.567 FROM DUAL UNION ALL
SELECT 0.557 FROM DUAL UNION ALL
SELECT 0.541 FROM DUAL UNION ALL
SELECT 0.534 FROM DUAL UNION ALL
SELECT 0.544 FROM DUAL UNION ALL
SELECT 0.537 FROM DUAL UNION ALL
SELECT 0.574 FROM DUAL UNION ALL
SELECT 0.572 FROM DUAL UNION ALL
SELECT 0.556 FROM DUAL UNION ALL
SELECT 0.56 FROM DUAL UNION ALL
SELECT 0.52 FROM DUAL UNION ALL
SELECT 0.578 FROM DUAL UNION ALL
SELECT 0.543 FROM DUAL UNION ALL
SELECT 0.544 FROM DUAL UNION ALL
SELECT 0.541 FROM DUAL UNION ALL
SELECT 0.526 FROM DUAL UNION ALL
SELECT 0.518 FROM DUAL UNION ALL
SELECT 0.521 FROM DUAL UNION ALL
SELECT 0.532 FROM DUAL UNION ALL
SELECT 0.524 FROM DUAL UNION ALL
SELECT 0.544 FROM DUAL UNION ALL
SELECT 0.523 FROM DUAL UNION ALL
SELECT 0.55 FROM DUAL UNION ALL
SELECT 0.544 FROM DUAL UNION ALL
SELECT 0.545 FROM DUAL UNION ALL
SELECT 0.571 FROM DUAL UNION ALL
SELECT 0.527 FROM DUAL UNION ALL
SELECT 0.536 FROM DUAL UNION ALL
SELECT 0.554 FROM DUAL UNION ALL
SELECT 0.569 FROM DUAL UNION ALL
SELECT 0.531 FROM DUAL UNION ALL
SELECT 0.534 FROM DUAL
), T2 (X,Y, COEF_VAR,MSSD) AS (
SELECT
AVG(ACTVALUE)
, STDDEV_SAMP(ACTVALUE)
, (100*STDDEV_SAMP(ACTVALUE))/AVG(ACTVALUE)
,SUM(C)/(2*(COUNT(*)-1))
FROM
(SELECT
ACTVALUE,
POWER(LAG(ACTVALUE) OVER(ORDER BY 0 )-ACTVALUE,2) C
FROM T1 ) AA
)
SELECT
(SUM(POWER(ACTVALUE-T2.X,3))/COUNT(*)) / POWER((SUM(POWER(ACTVALUE-T2.X,2))/COUNT(*)),3/2) SAMP_SKEW
, (SUM(POWER(ACTVALUE-T2.X,3))/COUNT(*)) / POWER(SQRT(SUM(POWER(ACTVALUE-T2.X,2))/COUNT(*)),3) SAMP_SKEW2
, (SQRT(COUNT(*)*(COUNT(*)-1))/(COUNT(*)-2)) * ((SUM(POWER(ACTVALUE-T2.X,3))/COUNT(*))/POWER((SUM(POWER(ACTVALUE-T2.X,2))/COUNT(*)),3/2)) POPU_SKEW
, (COUNT(*)/((COUNT(*)-1)*(COUNT(*)-2))) * SUM(POWER((ACTVALUE-T2.X)/T2.Y,3)) MINITAB_SKEW
, ((SUM(POWER(ACTVALUE-T2.X,4))/COUNT(*)) / POWER(SUM(POWER(ACTVALUE-T2.X,2))/COUNT(*),2))-3 SAMP_KURT
, (COUNT(*)-1)/((COUNT(*)-2)*(COUNT(*)-3))*
( (COUNT(*)+1)*(((SUM(POWER(ACTVALUE-T2.X,4))/COUNT(*)) / POWER(SUM(POWER(ACTVALUE-T2.X,2))/COUNT(*),2))-3)+6) POPU_KURT
, ((COUNT(*)*(COUNT(*)+1)/((COUNT(*)-1)*(COUNT(*)-2)*(COUNT(*)-3)))*SUM(POWER((ACTVALUE-T2.X)/T2.Y,4)))
-((3*POWER(COUNT(*)-1,2))/((COUNT(*)-2)*(COUNT(*)-3))) MINITAB_KURT
, T2.COEF_VAR
, T2.MSSD
FROM T1,T2 GROUP BY 0,T2.COEF_VAR, T2.MSSD
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