ASTM D4375-96(2011)

Standard Practice for Basic Statistics in Committee D-19 on Water (Withdrawn 2018)

SIGNIFICANCE AND USE
This practice assures the user that all calculations are performed in the same manner and that all results are presented consistently.
SCOPE
1.1 This practice establishes a uniform standard for calculating, expressing, and symbolizing some basic statistical parameters.
WITHDRAWN RATIONALE
This practice establishes a uniform standard for calculating, expressing, and symbolizing some basic statistical parameters.
Formerly under the jurisdiction of Committee D19 on Water, this practice was withdrawn in December 2018 and replaced by Practice E2586 for Calculating and Using Basic Statistics.1

General Information

• Status: Withdrawn
• Publication Date: 30-Apr-2011
• ICS: 01.040.13 - Environment. Health protection. Safety (Vocabularies)
• ICS: 13.060.01 - Water quality in general
• Technical Committee: D19 - Water
• Drafting Committee: D19.02 - Quality Systems, Specification, and Statistics

Relations

• Replaces: ASTM D4375-96(2006) - Standard Practice for Basic Statistics in Committee D-19 on Water
• Effective Date: 01-May-2011
• Replaced By: ASTM E2586-19e1 - Standard Practice for Calculating and Using Basic Statistics
• Effective Date: 21-Dec-2018
• Referred By: ASTM D2777-21 - Standard Practice for Determination of Precision and Bias of Applicable Test Methods of Committee D19 on Water
• Effective Date: 01-May-2011
• Referred By: ASTM D4841-88(2018) - Standard Practice for Estimation of Holding Time for Water Samples Containing Organic and Inorganic Constituents
• Effective Date: 01-May-2011
• Referred By: ASTM D5788-95(2017) - Standard Guide for Spiking Organics into Aqueous Samples
• Effective Date: 01-May-2011
• Referred By: ASTM D5810-96(2021) - Standard Guide for Spiking into Aqueous Samples
• Effective Date: 01-May-2011
• Referred By: ASTM D6501-15 - Standard Test Method for Phosphonate in Brines
• Effective Date: 01-May-2011

Standards Content (Sample)

NOTICE: This standard has either been superseded and replaced by a new version or withdrawn.
Contact ASTM International (www.astm.org) for the latest information
Designation: D4375 − 96 (Reapproved 2011)
Standard Practice for
Basic Statistics in Committee D19 on Water
This standard is issued under the fixed designation D4375; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. A
superscript epsilon (´) indicates an editorial change since the last revision or reapproval.
1. Scope
Popula-
Sample
tion
1.1 This practice establishes a uniform standard for Observation x X
i i
Sample or Population nN
calculating, expressing, and symbolizing some basic statistical
Size
parameters.
Mean x¯ µ
2 2
Variance s σ
Standard Deviation s σ
2. Referenced Documents
Standard Deviation of Mean s σ
x¯ µ
Relative Standard Deviation (%) RSD RSD
p
2.1 ASTM Standards:
D1129 Terminology Relating to Water 4. Summary of Practice
E456 Terminology Relating to Quality and Statistics
4.1 Prior to performing many statistical procedures certain
variables need to be calculated. The technique for calculating
3. Terminology
these variables and presenting these results is developed in this
practice.
3.1 Definitions:
3.1.1 population—the set of data that consists of all possible
5. Significance and Use
observations or values of a certain phenomenon.
5.1 This practice assures the user that all calculations are
3.1.2 sample—a set of data from the population.
performed in the same manner and that all results are presented
consistently.
3.1.3 statistic—an estimated quantity for a parameter calcu-
lated from a sample.
6. Calculation of Statistical Parameters
3.1.4 parameter—a measurable quantity characteristic of a
6.1 Mean:
population.
n
x¯ 5 x /n
( i
3.1.5 observation—a fact duly noted and recorded.
i51
N
3.1.6 sample or population size—(N may be finite or
µ 5 X /N
( i
infinite, but N and n are finite for all calculations). i51
6.2 Variance:
3.1.7 For definitions of related statistical terms, see Termi-
n
nology E456.
2 2
s 5 ~x 2 x¯! /n 2 1
( i
i51
3.1.8 For definitions of other terms used in this practice,
N
refer to Terminology D1129.
2 2
σ 5 ~X 2 µ! /N
( i
3.2 Symbols for Sample and Population:
i51
6.3 Standard Deviation:
=
s 5 s
1 =
σ 5 σ
This practice is under the jurisdiction of ASTM Committee D19 on Water and
is the direct responsibility of Subcommittee D19.02 on Quality Systems,
6.4 Standard Deviation of the Mean—(also know
...