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Originally Published in: ReNews, March, 2004 PUB-RR-716 MANN-KENDALL TEST - HOW TO APPLY RESULTS The Mann-Kendall, non-parametric statistical test is rou-tinely used to assess trends in groundwater.

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The Mann-Kendall test analyzes the sign of the difference between later-measured data and earlier-measured data. Each later-measured value is compared to all values measured earlier, resulting in a total of n(n-1)/2 possible pairs of data, where n is the total number of observations.

The Mann-Kendall test assumes that a value can always be declared less than, greater than, or equal to another value; that data are independent; and that the distribution of data remain constant in either the original units or transformed units (Helsel and Hirsch 1992).

1. The required probability of detecting a linear trend (if present) is set at 1−β where β is the user-specified probability of falsely accepting the null hypothesis. 2. The required number of samples, n, is initially set to 4, which is the minimum number of samples that can be analyzed using the Mann-Kendall test.

After opening XLSTAT, select the Mann-Kendall trend tests under the Time series analysis menu. The Mann-Kendall dialog box appears. Using the demo file, select column B (Passengers) in the Time series field and column A (Month) in the Date data field.

Mann-Kendall trend test hypotheses The null hypothesis H0 for these tests is that there is no trend in the series. The three alternative hypotheses are that there is a negative, non-null, or positive trend.

Using the mean E[S] and the variance VAR(S) we compute the Mann-Kendall test statistic, using the following transformation, which ensures that for large sample sizes, the test statistic ZMK is distributed approximately normally: ZMK={E[S]−1√VAR(S),E[S]>00,E[S]=0E[S]+1√VAR(S),E[S]<0.

The required number of samples, n, is initially set to 4, which is the minimum number of samples that can be analyzed using the Mann-Kendall test.

Using the mean E[S] and the variance VAR(S) we compute the Mann-Kendall test statistic, using the following transformation, which ensures that for large sample sizes, the test statistic ZMK is distributed approximately normally: ZMK={E[S]−1√VAR(S),E[S]>00,E[S]=0E[S]+1√VAR(S),E[S]<0.

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Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
DMCA Policy
About Us
Blog
Affiliates
Contact Us
Privacy Notice
Delete My Account
Site Map
All Forms
Search all Forms
Industries
Forms in Spanish
Localized Forms
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate workflows
DocHub
Instapage
Social Media
Call us now toll free:
1-877-389-0141
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232