Coding and Intercoder Reliability Su Li School of Law, U.C. Berkeley 2/12/2015

Outline Basics of data coding What’s intercoder reliability? Why does it matter? How to measure and report intercoder reliability? How to improve intercoder reliability? References

Data Coding Basics Start from a codebook Exhaustive and mutually exclusive value options for each variable Use multiple variables to code overlapping values or multiple values for one observation

Example Codebook (White collar lawyer project) c_graduate_year: Year graduated from law school (or received the highest degree, if not law degree) 999 if the information is not available Note: type in the applicable year (YYYY)   c_practice_area: Practice area 1. White collar (includes white collar defense, white collar crime, white collar litigation, etc.) 2. Government or corporate investigations 3. White collar and government/corporate investigations (if the practice area is described this way) 4. Criminal defense (if the practice area is described this way) Note: choose from one of the above 4 choices and type in the number. If the practice area has a different title, type in the title. See var14-18 in the WC project codebook

http://www.skadden.com/professionals/jon-l-christianson http://www.uria.com/en/oficinas/pekin/abogados.html?iniciales=FMB http://www.akingump.com/en/lawyers-advisors.html http://www.akingump.com/en/lawyers-advisors/michael-a-asaro.html Input data in Stata Label data in Stata Recode data in Stata Example 1: Graduation year– JD. 1989

What’s intercoder reliability Intercoder reliability is the widely used term for the extent to which independent coders evaluate a characteristic of a message or artifact and reach the same conclusion. (Also known as intercoder agreement, according to Tinsley and Weiss (2000). The intercoder reliability is not exactly the same as the correlation coefficient that measures the degree to which "ratings of different judges are the same when expressed as deviations from their means." Rather it measures only "the extent to which the different judges tend to assign exactly the same rating to each object" (Tinsley & Weiss, 2000, p. 98); http://astro.temple.edu/~lombard/reliability/

Why does it matter? Coding may involve coders’ judgments which vary among individuals. The quality of research depends on the coherence of coding judgments. Control the coding accuracy at the same time of monitoring intercoder reliability. Practically, make it possible for the division of labor among multiple coders.

Mathematical measures that are commonly reported on intercoder reliability Popping (1988) identified 39 different "agreement indices" for coding nominal categories. Commonly used ones: Percent agreement: PA0=totalAs/n Scott's pi (p): p=(PA0-PAe)/(1-PAe) [when PAe=Sigma(pi_squared)] Cohen's kappa (k): k=(PA0-PAe)/(1-PAe) [when PAe=(1/n_squared)*Sigma(pi_squared)] Krippendorff's alpha (a): (Krippendorff's Alpha 3.12a software) There is no consensus on a single, "best" one. Percent agreement is widely used, but is misleading. Tends to over estimate reliability. Cohen’s Kappa is being criticized but still the most frequently used. Hand calculations: http://astro.temple.edu/~lombard/reliability "Kappa means that the level of agreement is [that] percent greater than would be expected by change and thus indicates. . . . If Kappa equals 0 then the amount of agreement between the two coders is exactly what one would expect by chance. If Kappa equals 1, then the coders agree perfectly.

Example: binary var coding results of two coders   coder1 1 total coder2 50 3 53 94.34% 5.66% 89.83% 4 2 6 66.67% 33.33% 10.17% 54 5 59 91.53% 8.47% 100% PA0=50+2=52; n=59; PAe (in Scott’s i)=53/59* 53/59+6/59*6/59; PAe (in Cohen’s Kappa)=PAe(in Scott’s i)*1/(59*59)

Use SPSS to calculate Cohen’s Kappa CROSSTABS /TABLES=var1_coder2 BY var1_coder1 /FORMAT=AVALUE TABLES /STATISTICS=KAPPA /CELLS=COUNT /COUNT ROUND CELL.

Use Stata to calculate Cohen’s Kappa Kappa varlist; (each column shows the frequency of a value coded by different coders) Kap coder1 coder2 ….(each column is a coder) (see stata demo) According to Landis and Koch (1977a, 165) below 0.0 Poor 0.00 – 0.20 Slight 0.21 – 0.40 Fair 0.41 – 0.60 Moderate 0.61 – 0.80 Substantial 0.81 – 1.00 Almost perfect

Coder 1 and coder 2; coder 1 and coder 3, differences are random obs coder 1 coder 2 coder 3 coder 4 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Coder 1 and coder 2; coder 1 and coder 3, differences are random Coder 1 and coder 3 differences a systematic (e.g. coder 3 alwys code 2 as 1 and 3 as 4, compared with coder 2

Acceptance standard: Neuendorf (2002) No coherent standard. Some rules of thumb: “Coefficients of .90 or greater would be acceptable to all, .80 or greater would be acceptable in most situations, Below .8, there exists great disagreement” (p. 145). The criterion of .70 is often used for exploratory research. More liberal criteria are usually used for the indices known to be more conservative (i.e., Cohen’s kappa and Scott’s pi).

Hughes, Marie Adele, Garrett Dennis E. (1990)   Acceptance level recommend to use or not Percent agreement does not correct for chance agreement NO Scott's pi (p) 0.6 address chance correction and systematic coding error problem Acceptable Cohen's kappa (k) <0.00 Poor; 0.00-0.20 Slight; 0.21-0.40 Fair; 0.41-0.60 Moderate; 0.61-0.80 Substantial; 0.81-1.00 is Almost Perfect." (Landis&Koch 1977) Acceptable (most extensively discussed) Krippendorff's alpha (a) Pearson's correlation does not consider systematic coding bias

How to improve Intercoder reliability (Lombard et. Al. 2002) In Research Design: Assess reliability informally during coder training ( detailed instructions, close monitoring etc) Assess reliability formally in a pilot test. Assess reliability formally during coding of the full sample. Select and follow an appropriate procedure for incorporating the coding of the reliability sample into the coding of the full sample. (e.g. master coder quality control) In results report: Select one or more appropriate indices. Obtain the necessary tools to calculate the index or indices selected. Select an appropriate minimum acceptable level of reliability for the index or indices to be used. Report intercoder reliability in a careful, clear, and detailed manner in all research reports. http://astro.temple.edu/~lombard/reliability/

Reference http://astro.temple.edu/~lombard/reliability/ Lombard, M., Snyder-Duch, J., & Bracken, C. C. (2002). Content analysis in mass communication: Assessment and reporting of intercoder reliability. Human Communication Research, 28, 587-604. Tinsley, H. E. A. & Weiss, D. J. (2000). Interrater reliability and agreement. In H. E. A. Tinsley & S. D. Brown, Eds., Handbook of Applied Multivariate Statistics and Mathematical Modeling, pp. 95-124. San Diego, CA: Academic Press. Popping, R. (1988). On agreement indices for nominal data. In Willem E. Saris & Irmtraud N. Gallhofer (Eds.), Sociometric research: Volume 1, data collection and scaling (pp. 90-105). New York: St. Martin's Press. Richard J. Landis & Gary G. Koch, The Measurement of Observer Agreements for Categorical Data, Biometrics 33:159-174 (1977) Hughes, Marie Adele, Garrett Dennis E. 1990. Intercoder Reliability Estimation Approaches in Marketing: A Generalizability Theory Framework for Quantitative Data. Journal of Marketing Research. Vol. 27, No. 2 (May, 1990), pp. 185-195