Richard Hofmann
Biographic Data
| ID | 5381085 |
|---|---|
| NAME | Richard Hofmann |
| GIVEN NAMES | Richard |
| FAMILY NAME | Hofmann |
| SIGNATURE | HOFMANN R |
| AFFILIATIONS | Miami University |
| ORCID | 0000-0002-5829-8546 |
| VERIFIED | Yes |
| TOTAL WORKS | 19 |
| TOTAL CITATIONS | 3 |
| WORKS AS AUTHOR | 19 |
| WORKS AS EDITOR | 0 |
| FIRST PUBLICATION YEAR | 1968 |
| LATEST PUBLICATION YEAR | 2013 |
| H-INDEX | 1 |
Einfluß Verschiedener Koksqualitäten Auf das Schmelzergebnis Im Kupolofen
Extended Latent Partition Analysis
Utilizing an empirical data set, this article demonstrates and briefly discusses a multivariate technique that represents an extension of Wiley's latent partition analysis, extended latent partition analysis
MHA (Multiple Hierarchical Analysis)
MHA (multiple hierarchical analysis), a general Guttman Scaling Algorithm (MHA), is briefly discussed. The MHA algorithm is highly transportable with minimum limitations on number of variables and no limitations on the number of observations. Both confirmatory and exploratory analyses can be performed with the algorithm
On Testing a Guttman Scale for Significance
The Guttman scale is discussed from the viewpoint of errors in response patterns. The errors are assumed to be distributed as a binomial. A double-barreled significance test is suggested having two probabilities: high probability and low probability
Raking A Garden Factor Solution
In this article some of the causes of matrix singularity are discussed. A relatively simple multivariate procedure is developed to study the variable structure of singular data. This procedure, referred to as data raking, identifies the variable(s) causing singularity. Once identified the variable(s) may be eliminated from the data resulting in the desired non-singular data set that is usually assumed by most multivariate procedures. The logic of…
Mufact
A general factor analysis computer algorithm is briefly discussed. The computer algorithm is highly transportable with minimum limitations on number of variables and no limitations on the number of observations. Both singular and non-singular data can be analyzed with the algorithm
A Modified Rule of Thumb for Evaluating Scale Reproducibilities Determined By Electronic Computers
The Goodenough technique for determining scale error is compared to the Guttman technique and demonstrated to be more conservative than the Guttman technique. Implications with regard to Guttman's evaluative rule of thumb for evaluating a reproducibility are noted
Complexity And Simplicity As Objective Indices Descriptive Of Factor Solutions
Kaiser's simplicity index is compared and contrasted with Hofmann's complexity index. It is noted that at the variable level one index may be derived algebraically from the other; however, each provides different descriptive information with regard to a factor solution. Furthermore it is suggested that when used together they provide an objective basis for comparing different factor solutions for the same data set
On Partialing A Simplex Out Of Binary Data
Using four illustrative data sets, the procedure developed by Horst for partialing a simplex out of a binary data matrix is shown to result in poorer factor recovery than if the procedure were not applied to the data set
The Orthotran Solution
A computational algorithm, the orthotran solution, is developed for determining oblique factor analytic solutions utilizing orthogonal transformation matrices. Using a simple structure criterion orthotran solutions are determined for 17 illustrative data sets and compared with their subjective solutions. The orthotran solution defines transformation solutions that are relatively congruent with the subjective solutions, thereby suggesting that it …
A Generalized Regression Estimate Formula for Factor Scores
A generalized formula for determining regression estimate factor scores is developed for use with either singular or nonsingular data with either orthogonal or oblique factor solutions. Kaiser's component scores are shown to be a specialized case of the generalized formula. With use of the formula, estimated factor scores and component scores are developed for an oblique solution of the singular data of the Thurstone box problem and then compared…
Indices Descriptive of Factor Complexity
This manuscript develops two indices for describing the complexity of a factor solution. One index indicates the complexity of the variables in terms of factors, while a second index indicates the complexity of the factors in terms of variables. With the use of the classic Thurstone box problem as an illustrative example, various orthogonal and oblique solutions are discussed with regard to these indices. It is concluded that the indices may serv…
Getting ideas across versus giving readers an intellectual workout
Getting ideas across versus giving readers an intellectual workout
A Subroutine for Computing Item Efficiency and Associated Probabilities
A subroutine for use in any item analysis program is provided. This routine computes the efficiency of a test item, the exact probability of obtaining this efficiency, and the chance probability of obtaining a greater efficiency for an item, given its difficulty level, discrimination index, and sample size
The Concept of Efficiency in Item Analysis
In this paper a new item analysis index, e, is derived as a function of difficulty and discrimination to represent item efficiency. It is demonstrated algebraically that the maximum discriminating power of an item may be determined from its difficulty and then item efficiency is defined as the ratio of observed discrimination to maximum discrimination. The magnitude of the e-index will range from zero to unity and will provide additional informat…
Brief Report
A generalized matrix procedure is developed for computing the proportionate contribution of a factor, either orthogonal or oblique, to the total common variance of a factor solution
Readability and human interest scores of thirty-six recently published introductory educational psychology tests
The Forced-Choice Test as a Structured Q-Sort
Indices Descriptive of Factor Complexity
This manuscript develops two indices for describing the complexity of a factor solution. One index indicates the complexity of the variables in terms of factors, while a second index indicates the complexity of the factors in terms of variables. With the use of the classic Thurstone box problem as an illustrative example, various orthogonal and oblique solutions are discussed with regard to these indices. It is concluded that the indices may serv…
Readability and human interest scores of thirty-six recently published introductory educational psychology tests
The Forced-Choice Test as a Structured Q-Sort
A Subroutine for Computing Item Efficiency and Associated Probabilities
A subroutine for use in any item analysis program is provided. This routine computes the efficiency of a test item, the exact probability of obtaining this efficiency, and the chance probability of obtaining a greater efficiency for an item, given its difficulty level, discrimination index, and sample size
The Concept of Efficiency in Item Analysis
In this paper a new item analysis index, e, is derived as a function of difficulty and discrimination to represent item efficiency. It is demonstrated algebraically that the maximum discriminating power of an item may be determined from its difficulty and then item efficiency is defined as the ratio of observed discrimination to maximum discrimination. The magnitude of the e-index will range from zero to unity and will provide additional informat…
Brief Report
A generalized matrix procedure is developed for computing the proportionate contribution of a factor, either orthogonal or oblique, to the total common variance of a factor solution
Readability and human interest scores of thirty-six recently published introductory educational psychology tests
Getting ideas across versus giving readers an intellectual workout
Getting ideas across versus giving readers an intellectual workout
Indices Descriptive of Factor Complexity
This manuscript develops two indices for describing the complexity of a factor solution. One index indicates the complexity of the variables in terms of factors, while a second index indicates the complexity of the factors in terms of variables. With the use of the classic Thurstone box problem as an illustrative example, various orthogonal and oblique solutions are discussed with regard to these indices. It is concluded that the indices may serv…
Mufact
A general factor analysis computer algorithm is briefly discussed. The computer algorithm is highly transportable with minimum limitations on number of variables and no limitations on the number of observations. Both singular and non-singular data can be analyzed with the algorithm
A Modified Rule of Thumb for Evaluating Scale Reproducibilities Determined By Electronic Computers
The Goodenough technique for determining scale error is compared to the Guttman technique and demonstrated to be more conservative than the Guttman technique. Implications with regard to Guttman's evaluative rule of thumb for evaluating a reproducibility are noted
Complexity And Simplicity As Objective Indices Descriptive Of Factor Solutions
Kaiser's simplicity index is compared and contrasted with Hofmann's complexity index. It is noted that at the variable level one index may be derived algebraically from the other; however, each provides different descriptive information with regard to a factor solution. Furthermore it is suggested that when used together they provide an objective basis for comparing different factor solutions for the same data set
On Partialing A Simplex Out Of Binary Data
Using four illustrative data sets, the procedure developed by Horst for partialing a simplex out of a binary data matrix is shown to result in poorer factor recovery than if the procedure were not applied to the data set
The Orthotran Solution
A computational algorithm, the orthotran solution, is developed for determining oblique factor analytic solutions utilizing orthogonal transformation matrices. Using a simple structure criterion orthotran solutions are determined for 17 illustrative data sets and compared with their subjective solutions. The orthotran solution defines transformation solutions that are relatively congruent with the subjective solutions, thereby suggesting that it …
A Generalized Regression Estimate Formula for Factor Scores
A generalized formula for determining regression estimate factor scores is developed for use with either singular or nonsingular data with either orthogonal or oblique factor solutions. Kaiser's component scores are shown to be a specialized case of the generalized formula. With use of the formula, estimated factor scores and component scores are developed for an oblique solution of the singular data of the Thurstone box problem and then compared…
On Testing a Guttman Scale for Significance
The Guttman scale is discussed from the viewpoint of errors in response patterns. The errors are assumed to be distributed as a binomial. A double-barreled significance test is suggested having two probabilities: high probability and low probability
Raking A Garden Factor Solution
In this article some of the causes of matrix singularity are discussed. A relatively simple multivariate procedure is developed to study the variable structure of singular data. This procedure, referred to as data raking, identifies the variable(s) causing singularity. Once identified the variable(s) may be eliminated from the data resulting in the desired non-singular data set that is usually assumed by most multivariate procedures. The logic of…
MHA (Multiple Hierarchical Analysis)
MHA (multiple hierarchical analysis), a general Guttman Scaling Algorithm (MHA), is briefly discussed. The MHA algorithm is highly transportable with minimum limitations on number of variables and no limitations on the number of observations. Both confirmatory and exploratory analyses can be performed with the algorithm
Extended Latent Partition Analysis
Utilizing an empirical data set, this article demonstrates and briefly discusses a multivariate technique that represents an extension of Wiley's latent partition analysis, extended latent partition analysis
Einfluß Verschiedener Koksqualitäten Auf das Schmelzergebnis Im Kupolofen
Mathematics (15 works) · Computer Science (13 works) · Statistics (13 works) · Econometrics (7 works) · Psychology (6 works) · Algorithm (5 works) · Matrix Theory and Algorithms (5 works) · Oblique case (5 works) · Cognitive psychology (3 works) · Factor (programming language) (3 works)