A sample drawn in several phases refers to the selection of a large-sized preliminary sample on which some quick and inexpensive method of measurement is applied,-followed by the drawing of a subsample on which a somewhat more elaborate method of measurement is used. Then successively nested subsamples are drawn and more expensive, elaborate and accurate methods of measurement are applied. This paper furnishes expressions for the estimator and its variance for the three-phase design for both quantitative and binary data. An example from a remote sensing application is presented to illustrate estimation of the population mean of a numerical characteristic. Monte Carlo data are used to illustrate the estimation of the population proportion of a binary variable of interest. Formulas for optimum sampling rates are shown to be of the same form for the two types of variables.


Uncertainty analysis of coordinate measuring machine (CMM) measurements
Sözak, Ahmet; Konukseven, Erhan İlhan; Department of Mechanical Engineering (2007)
In this thesis, the measurement uncertainty of Coordinate Measuring Machine (CMM) is analysed and software is designed to simulate this. Analysis begins with the inspection of the measurement process and structure of the CMMs. After that, error sources are defined with respect to their effects on the measurement and then an error model is constructed to compensate these effects. In other words, systematic part of geometric, kinematic and thermal errors are compensated with error modelling. Kinematic and geo...
Electrical impedance tomography: Induced-current imaging achieved with a multiple coil system
Gençer, Nevzat Güneri; Williamson, SJ (1996-02-01)
An experimental study of induced-current electrical impedance tomography verifies that image quality Is enhanced by employing six rather than three induction coils by increasing the number of independent measurements. However, with an increasing number of coils, the inverse problem becomes more sensitive to measurement noise, Using 16 electrodes to measure surface voltages, it Is possible to collect 6 x 15 = 90 independent measurements. For comparison purposes, images of two dimensional conductivity perturb...
Nonlinearities in quantum correlations of two time-like separated measurements
Gharib Masouleh, Hamideh; Turgut, Sadi; Department of Physics (2021-9-10)
When two time-like separated measurements are done on an observable with 3 or more eigenvalues, such as angular momentum of an spin-1 particle, the result of the measurements correlation is nonlinear in terms of the first measurement outcome while linear in the other. This thesis is the study of this nonlinearity in quantum correlation of such measurements as well as showing the results of simulation on quantum simulator qasm and experiment on the quantum computer ibmq-manila. The results confirm the non-in...
Optical band gap and dispersion of optical constants of Cu-Ga-S thin films
Isik, M.; Gullu, H. H.; COŞKUN, EMRE; Hasanlı, Nızamı (2019-01-01)
Thermally deposited Cu-Ga-S thin films were optically characterized by means of experimental techniques of transmission measurements. The analyses of transmittance spectra were accomplished by derivative spectrophotometry analyses to get gap energies of thin films. The transmittance spectra of thin films annealed at different temperatures presented interference fringes which were analyzed by Swanepoel envelope method. The wavelength dependencies of optical parameters; refractive index (n), real part of comp...
Continuous dimensionality characterization of image structures
Felsberg, Michael; Kalkan, Sinan; Kruger, Norbert (Elsevier BV, 2009-05-04)
Intrinsic dimensionality is a concept introduced by statistics and later used in image processing to measure the dimensionality of a data set. In this paper, we introduce a continuous representation of the intrinsic dimension of an image patch in terms of its local spectrum or, equivalently, its gradient field. By making use of a cone structure and barycentric co-ordinates, we can associate three confidences to the three different ideal cases of intrinsic dimensions corresponding to homogeneous image patche...
Citation Formats
C. PROCTOR and I. ERDEM, “3-PHASE SAMPLING FOR QUANTITATIVE AND FOR BINARY MEASUREMENTS,” SANKHYA-THE INDIAN JOURNAL OF STATISTICS SERIES B, pp. 244–256, 1991, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65044.