# The Three-Mode Encyclopedia

## Part C

With one can go to the indices of this part of the Encyclopedia, with one can go to other parts (letters) of the Encyclopedia.
##### Index
|Ca | Cb | Cc | Cd | Ce | Cf | Cg | Ch | Ci | Cj | Ck | Cl | Cm | Cn | Co | Cp | Cq | Cr | Cs | Ct | Cu | Cv | Cw | Cx | Cy | Cz |

• CANDECOMP  Carroll & Chang (1970). T3 with a three-way identity matrix as core matrix, or equivalent to INDSCAL with different reduced modes.

• Combination-mode (ij)  Cartesian product of two (elementary) modes i and j; " i outer loop, j inner loop"; see Tucker (1966, p.281).

• Combination-mode matrix  two-mode matrix with one (elementary) mode (usually columns) and one combination-mode (usually rows).

• ### Computer programs

ALS/PLS Kroonenberg (1981a,c), Kroonenberg & De Leeuw (1980), Lohmöller & Wold (1980), Sands (1978), Sands & Young (1980)
Analysis of Covariance approach Bentler & Lee (1978, 1979)
Orlik's Summax method Kohler (1980)
Three-mode scaling SOUPAC (1973), Redfield (1978)
Tucker's (1966) Method I Gräser (1977), Kouwer (1967), Lohmöller (1979b), McCloskey & Jackson (1979), Redfield (1978), SOUPAC (1973), Teufel (1969), Van de Geer (1975), Walsh (1964,1976).
Tucker's (1966) Method II Gruvaeus et al. (1971), Lohmöller (1979b), Redfield (1978), Van de Geer (1975), Wainer et al. (1973)
Tucker's (1966) Method III Lohmöller (1979b), Redfield (1978), C.W. Snyder & Law (1979), C.W. Snyder, Law & Pamment (1979), SOUPAC (1973), Zenisek (1978).

• Core array (the word matrix is now reserved for two-way structures)  three-mode matrix, which contains the relations between the components of the various modes; its size is usually p*q*m, where p, q, and m are the number of components for the first, second, and third mode respectively.

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P. M. Kroonenberg
Education and Child Studies, Leiden University
Wassenaarseweg 52, 2333 AK Leiden, The Netherlands
Tel. *-31-71-5273446/5273434 (secr.); fax *-31-71-5273945
E-mail: kroonenb at fsw.leidenuniv.nl

First version : 17/06/2005;