Sources

Raven, J. C. (1941). Standardization of progressive matrices. British Journal of Medical Psychology 19: 137–50. Contains SPM 1938.

Foulds, G. A., and Raven, J. C. (1948). Normal changes in the mental abilities of adults as age advances. Journal of Mental Science 94: 133–42. Contains SPM normed on adults 1942.

Although the data were collected over a number of years, they are always referred to as the “1942 UK adult norms.” Raven, J. C., Court, J. H., and Raven, J. (1976). Manual for Raven's Progressive Matrices and Vocabulary Scales. London: Lewis. Contains CPM 1949 (sometimes dated as 1947).

Raven, J. C., Court, J. H., and Raven, J. (1986). Manual for Raven's Progressive Matrices and Vocabulary Scales. London: H. K. Lewis. Contains 1979 SPM and 1982 CPM.

Raven, J., Raven, J. C., and Court, J. H. (2003, updated 2004). Manual for Raven's Progressive Matrices and Vocabulary Scales. San Antonio, TX: Harcourt. Table APM XIV links ages 15.5 with ages 20–70 for APM 1992 raw scores.

Raven, J., Rust, J., and Squire, A. (2008a). Manual: Coloured Progressive Matrices and Crichton Vocabulary Scales. London: Pearson. Contains CPM 2007.

Raven, J., Rust, J., and Squire, A. (2008b). Raven's Standard Progressive Matrices (SPM) and Raven's Standard Progressive Matrices Plus (SPM Plus). London: Pearson. Contains SPM Plus 2008.

The most recent data (linking 2007 CPM with 2008 SPM with 1992 APM)

First, I will do the most recent data for all results throughout.

1. Step I. Data: raw scores by age at various performance levels.

2. Step II. How to get the values by SD level: given the great interest of this data, I will detail my calculations throughout.

3. Step III. Subtract the difference at the median from the difference at all other levels.

Standard Progressive Matrices Plus (2008)

First, I norm age 7.5 on 9.5 and then, age 9.5 on 15.5 to get a cumulative total (for 7.5 on 15.5). This version of the Progressive Matrices added new items of greater difficulty, which means that the raw scores by percentile are not analogous to previous standardizations of the SPM. But the test is similar in kind. The values in bold are relevant to the first norming (7.5/9.5), the values in brackets relevant to the second (9.5/15.5).