The authors update and extend their 1978 review of conjoint analysis. In addition to discussing several new developments, they consider alternative approaches for measuring preference structures in...

https://www.jstor.org/stable/info/1251756

Conjoint Analysis in Marketing: New Developments with Implications for Research and Practice:

On the basis of previous reviews of the perceived-risk concept, a model of risk perception and its effects on consumers' risk-handling behavior is formulated. Hypotheses derived from this model are empirically tested and indicate that, for the setting studied (women purchasing a dress), the intended use of risk-handling activity increases with higher levels of perceived risk. This relationship is more pronounced after the level of risk exceeds the individual's acceptable level of risk. Also of importance in determining the use of a risk-handling activity are the perceived benefit of the type of risk-handling activity and the consumer's inability to absorb a monetary loss.

https://www.jstor.org/stable/pdfplus/2489744.pdf

A Model of Perceived Risk and Intended Risk-handling Activity

Choice designs traditionally have been built under the assumption that all coefficients are zero. The authors show that if there are reasonable nonzero priors for expected coefficients, then these ...

The Importance of Utility Balance in Efficient Choice Designs

Light transport algorithms generate realistic images by simulating the emission and scattering of light in an artificial environment. Applications include lighting design, architecture, and computer animation, while related engineering disciplines include neutron transport and radiative heat transfer. The main challenge with these algorithms is the high complexity of the geometric, scattering, and illumination models that are typically used. In this dissertation, we develop new Monte Carlo techniques that greatly extend the range of input models for which light transport simulations are practical. Our contributions include new theoretical models, statistical methods, and rendering algorithms. We start by developing a rigorous theoretical basis for bidirectional light transport algorithms (those that combine direct and adjoint techniques). First, we propose a linear operator formulation that does not depend on any assumptions about the physical validity of the input scene. We show how to obtain mathematically correct results using a variety of bidirectional techniques. Next we derive a different formulation, such that for any physically valid input scene, the transport operators are symmetric. This symmetry is important for both theory and implementations, and is based on a new reciprocity condition that we derive for transmissive materials. Finally, we show how light transport can be formulated as an integral over a space of paths. This framework allows new sampling and integration techniques to be applied, such as the Metropolis sampling algorithm. We also use this model to investigate the limitations of unbiased Monte Carlo methods, and to show that certain kinds of paths cannot be sampled. Our statistical contributions include a new technique called multiple importance sampling, which can greatly increase the robustness of Monte Carlo integration. It uses more than one sampling technique to evaluate an integral, and then combines these samples in a

/pdf/robust-monte-carlo-methods-for-light-transport-simulation-23mfnk1eki.pdf

Robust Monte Carlo methods for light transport simulation

Conjoint analysis is marketers' favorite methodology for finding out how buyers make trade-offs among competing products and suppliers Conjoint analysts develop and present descriptions of alternative products or services that are prepared from fractional factorial, experimental designs They use various models to infer buyers' part-worths for attribute levels, and enter the part-worths into buyer-choice simulators to predict how buyers will choose among products and services Easy-to-use software has been important for applying these models Thousands of applications of conjoint analysis have been carried out over the past three decades

Thirty Years of Conjoint Analysis: Reflections and Prospects

Plans for asymmetrical factorial experiments which permit uncorrelated estimates of all main effects when the interactions are negligible are described. The construction of these plans is based upon the principle of proportional frequencies of the factor levels. The possibilities of blocking these main-effect plans, the randomization procedure and the method of analysis are presented.

Orthogonal Main-Effect Plans for Asymmetrical Factorial Experiments

Procedures for constructing plans which permit uncorrelated estimation of all main effects and some specified number of two-factor interaction effects are developed for symmetrical factorial arrangements. These plans can then be adjusted to yield plans with similar properties for asymmetrical factorial experiments.

Symmetrical and Asymmetrical Fractional Factorial Plans

: The development and presentation of orthogonal main-effect plans are presented. These plans permit uncorrelated estimates of all main effects of both symmetrical and asymmetrical factorial experiments with a minimum number of trials. An account is given of the development of orthogonal main-effect plans for symmetrical and asymmetrical factorial experiments. The plans for asymmetrical experiments are based on the proposition that if the levels of a factor occur with the levels of another factor with proportional frequencies then the two factors are orthogonal. The possibilities of blocking these plans, the efficiencies of the estimates, the randomization procedure and the method of analysis are discussed. A catalogue of orthogonal main-effect plans is included which consists of the treatment combinations of 26 basic plans, involving factors with up to 9 levels and with up to 81 trials, from which all orthogonal main-effect plans which can be constructed with 81 or fewer trials may be deduced.

Orthogonal main-effect plans

In this paper we present a method of constructing main-effect plans for symmetrical factorial experiments which can accommodate up to $\lbrack 2(s^n - 1)/(s - 1) - 1\rbrack$ factors, each at $s = p^m$ levels, where $p$ is a prime, with $2s^n$ treatment combinations. As main-effect plans are orthogonal arrays of strength two the method presented permits the construction of the orthogonal arrays $(2s^n, 2\lbrack s^n - 1\rbrack/\lbrack 2 - 1\rbrack - 1, s, 2)$.

/pdf/some-main-effect-plans-and-orthogonal-arrays-of-strength-two-3jsgv72ksa.pdf

Some Main-Effect Plans and Orthogonal Arrays of Strength Two

The development of fractional replicate plans which consist of irregular fractions of factorial experiments is presented. The method of constructing irregular fraction plans is developed for the general s n factorial experiment. However, the plans which are found to be of greatest practical value are plans for the 3/2 m replicate of the 2 n experiment. Although these plans introduce correlations between some of the estimates, the correlations do not affect individual tests on the parameters. Some irregular fraction plans permit the estimation of main effects and two-factor interactions with fewer trials than is required with an orthogonal plan. A straightforward procedure for obtaining estimates of the main effects and “important” interactions and estimates of their variances, covariances and correlation coefficients is presented for the 3/2 m replicate plans.

http://www.jstor.org/stable/pdfplus/1266555.pdf

Sidney Addelman

Papers

Orthogonal Main-Effect Plans for Asymmetrical Factorial Experiments

Symmetrical and Asymmetrical Fractional Factorial Plans

Orthogonal main-effect plans

Some Main-Effect Plans and Orthogonal Arrays of Strength Two

Irregular Fractions of the 2 n Factorial Experiments