# Exact binomial confidence interval for proportions

@article{Morisette1998ExactBC, title={Exact binomial confidence interval for proportions}, author={Jeffrey T. Morisette and Siamak Khorram}, journal={Photogrammetric Engineering and Remote Sensing}, year={1998}, volume={64}, pages={281-283} }

Introduction In remote sensing accuracy assessment applications, the confidence interval is commonly used as a way to establish an appropriate sample size. However, confidence intervals are also informative when included in the accuracy assessment report. Many reports and papers give accuracy figures and leave out confidence intervals. In those cases where a confidence interval is constructed, the standard approach is to derive the interval through the use of a normal approximation of the…

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## 22 References

### Approximate Binomial Confidence Limits

- Mathematics
- 1986

Abstract This article examines the accuracy of normal approximations to confidence limits for the binomial (n, p) parameter p. The method of getting “exact” values from an F table is too slow for…

### Sample Size Requirements for the Back-of-the-Envelope Binomial Confidence Interval

- Mathematics
- 1992

Abstract The simplest approximate confidence interval for the binomial parameter p, based on x successes in n trials, is where c is a suitable percentile of the normal distribution. Because I 0 is so…

### Assessing Landsat classification accuracy using discrete multivariate analysis statistical techniques.

- Environmental Science, Mathematics
- 1983

Discrete multivariate analysis techniques have been used to evaluate the accuracy of land-cover classifications from Landsat digital image y . Error matrices or contingency tables were taken from the…

### Accuracy Assessment of a Land-Cover Map of the Kuparu k River Basin, Alaska: Considerations for Remote Regions

- Environmental Science, Mathematics
- 1998

An accuracy assessment of a Landsat MSS-derived land-cover map of the Kuparuk River basin, Alaska was performed. We used a stratified systematic transect-based sampling design with a homogeneous 3-…

### Statistics & probability & their applications

- Mathematics
- 1985

The Nature and Purposes of Statistics. Describing Samples and Populations. Probability Models. Random Variables. Random Variables, Probability Distributions, Probability Models. The Normal…

### A review of assessing the accuracy of classifications of remotely sensed data

- Environmental Science, Mathematics
- 1991

### Co-Registered Aerial Stereopairs from Low-Flying Aircraft for the Analysis of Long-Term Tropical Rainforest Canopy Dynamics

- Environmental Science
- 1998

Ground-based censusing of tagged trees in permanent plots has been the standard research method for monitoring the long-term dynamics of tropical rainforest tree populations. This paper describes a…

### Satellite monitoring of lake ice breakup on the Laurentian shield (1980-1994)

- Environmental Science
- 1998

Lake ice breakup dates from 1980 to 1994 for 81 selected lakes and reservoirs in the U.S. upper Midwest and portions of Canada (60"N, 105"W to 40°N, 85OW) were determined employing analysis of 1,830…

### Map-Guided Classification of Regional Land Cover with Multi-Temporal AVHRR Data

- Environmental Science, Mathematics
- 1998

Cartographers often need to use information in existing landcover maps when compiling regional or global maps, but there are no standardized techniques for using such data effectively. An iterative,…

### Landsat classification accuracy assessment procedures

- Environmental Science
- 1982

A working conference was held in Sioux Falls, South Dakota, 12-14 November, 1980 dealing with Landsat classification Accuracy Assessment Procedures. Thirteen formal presentations were made on three…