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Dietary Reference Intakes: Applications in Dietary Assessment (2000)
Institute of Medicine (IOM)

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. "Appendix B: Nutrient Assessment of Individuals: Statistical Foundations." Dietary Reference Intakes: Applications in Dietary Assessment. Washington, DC: The National Academies Press, 2000.

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DRI DIETARY REFERENCE INTAKES: Applications in Dietary Assessment

daily intakes for an individual are typically not available to reliably estimate the day-to-day variability, the pooled day-to-day SD of intake from CSFII (see Table B-2, Table B-3, Table B-4 through Table B-5) or from NHANES is used.

The z-statistic is constructed as follows:

z = × (observed mean intake − AI)/SD of daily intake.

By rearrangement, this can also be expressed as:

z = (observed mean intake − AI) / (SD of daily intake/ ).

The z-statistic is then compared to tabulated values (a selection of which are presented in Table B-6), to decide whether the desired level of accuracy is achieved when stating that the usual intake is larger than the AI.

For example, consider a nutrient such as calcium with an AI of 1,000 mg /day, and suppose that the SD of daily intake from CSFII for the appropriate life stage and gender group is 325 mg/day.

TABLE B-6 Selected Values of z and the Associated Level of Confidence When Concluding That Individual Usual Intake Is Larger Than the Adequate Intake (AI) or Less Than the Tolerable Upper Intake Level (UL)

Criterion

Conclusion

Probability of Correct Conclusion

z > 2.00

Usual intake is adequate (excessive)

0.98

z > 1.65

Usual intake is adequate (excessive)

0.95

z > 1.50

Usual intake is adequate (excessive)

0.93

z > 1.25

Usual intake is adequate (excessive)

0.90

z > 1.00

Usual intake is adequate (excessive)

0.85

z > 0.85

Usual intake is adequate (excessive)

0.80

z > 0.68

Usual intake is adequate (excessive)

0.75

z > 0.50

Usual intake is adequate (excessive)

0.70

z > 0.00

Usual intake is adequate (excessive/safe)

0.50

z > −0.50

Usual intake is adequate (excessive)

0.30 (0.70 probability usual intake is safe)

z > −0.85

Usual intake is adequate (excessive)

0.20 (0.80 probability usual intake is safe)

z > −1.00

Usual intake is adequate (excessive)

0.15 (0.85 probability usual intake is safe)

SOURCE: Adapted from Snedecor and Cochran (1980).

Page
199
Front Matter (R1-R14)
Contents (R15-R18)
Summary (1-18)
I. Historical Perspective and Background (19-20)
1 Introduction and Background (21-28)
2 Current Uses of Dietary Reference Standards (29-42)
II. Application of DRIs for Individual Diet Assessment (43-44)
3 Using Dietary Reference Intakes for Nutrient Assessment of Individuals (45-70)
III. Application of DRIs for Group Diet Assessment (71-72)
4 Using the Estimated Average Requirement for Nutrient Assessment of Groups (73-105)
5 Using the Adequate Intake for Nutrient Assessment of Groups (106-112)
6 Using the Tolerable Upper Intake Level for Nutrient Assessment of Groups (113-126)
7 Specific Applications: Assessing Nutrient Intakes of Groups Using the Dietary Reference Intakes (127-144)
IV. Fine-Tuning Dietary Assessment Using the DRIs (145-146)
8 Minimizing Potential Errors in Assessing Group and Individual Intakes (147-161)
9 Research Recommended to Improve the Uses of Dietary Reference Intakes (162-167)
10 References (168-178)
Appendix A: Origin and Framework of the Development of Dietary Reference Intakes (179-184)
Appendix B: Nutrient Assessment of Individuals: Statistical Foundations (185-202)
Appendix C: Assessing Prevalence of Inadequate Intakes for Groups: Statistical Foundations (203-210)
Appendix D: Assessing the Performance of the EAR Cut-Point Method for Estimating Prevalence (211-231)
Appendix E: Units of Observation: Assessing Nutrient Adequacy Using Household and Population Data (232-238)
Appendix F: Rationale for Setting Adequate Intakes (239-253)
Appendix G: Glossary and Abbreviations (254-261)
Appendix H: Biographical Sketches of Subcommittee Members (262-266)
Index (267-281)
Summary Table: Estimated Average Requirements (282-283)
Summary Table: Tolerable Upper Intake Levels (284-286)
Summary Table: Recommended Intakes for Individuals (287-289)