CORPORATE LINKAGES AND ORGANIZATIONAL ENVIRONMENT: A TEST OF THE RESOURC BRIAN BOYD Strategic Management Journal (1986-1998); Oct 1990; 11, 6; ABI/INFORM Global pg. 419 Strategic Management Journal, Vol. 11, 419-430 (1990) CORPORATE LINKAGES AND ORGANIZATIONAL ENVIRONMENT: A TEST OF THE RESOURCE DEPENDENCE MODEL BRIAN BOYD Blue Cross and Blue Shield of Michigan, Detroit, Michigan, U.S.A. Two competing models of corporate boards are presented. Management control proposes that the board is a rubber stamp for management, and plays a minor role in strategic management, while resource dependence asserts that the board is a tool used to manage environmental uncertainty. A structural model was developed to determine whether corporate boards respond to different types of environmental uncertainly, using data on 147 companies from nine industry groups. It was found that boards tended to be smaller in a more uncertain environment, while having an increased number of interlocks. Thb relationship was stronger in high-performing firms. INTRODUCTION The corporate board is a popular research agenda in the social sciences. By one account (Richardson, 1987), there are over 100 major studies of directors and interlocks. Given this level of interest it is not surprising that several competing models have been developed to explain the function of corporate boards (for a review see Bazerman and Schoorman, 1983; Koenig, Gogel, and Sonquist, 1979). Two of these models are diametrically opposed regarding the board's role in the strategic management process. Mangement control (Drucker, 1981; Mace, 1971; Sturdivant, 1981) compares the board to an appendix—at best, an appendage with no useful function; at worst, a major irritant. The board is viewed as unwilling or unable to contribute to the strategic direction of the firm. Reciprocity, or resource dependence, asserts that the board is an integral component of the effective firm. In this model the board is used to gain access to scarce resources and information (Pennings, 1980; Pfeffer and Salancik, 1978). Resource dependence has two major implications regarding boards of directors. First, composition of the board should be affected by 0143-2095/90/060419-12S06.00 © 1990 by John Wiley & Sons, Ltd. environmental pressures and demands. Second, differences in board composition should affect a firm's performance. Most studies focus on the latter issue: board size, number of interlocks, number and percentage of outside directors, financial ties, and competitor ties have all been studied in attempts to predict financial performance in organizations. While attempting to test the relationship between the board and performance, past research has placed less emphasis on the relationship between the environment and the board. Resource dependence theory proposes that the need for environmental linkage is a direct function of the level of dependence facing an organization. While previous studies have examined the effect of some environmental variables, such as levels of competition, none have systematically tested the effect of environmental characteristics on board composition. The intent of the present study is to rectify that omission by developing a structural model of corporate boards and environment. Dess and Beard's (1984) model of environment is used to meausure resource scarcity, volatility, and complexity, which are hypothesized to affect board size and interlocking. A separate model is evaluated for high-performing firms. Received 13 August 1989 Revised 24 January 1990 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. reproduction prohibited without permission. Reproduced with permission of the copyright owner. reproduction prohibited without permission. Reproduced with permission of the copyright owner. reproduction prohibited without permission. Commerce Department starting in 1982. For previous years, Schmalensee (1977) suggests several methods to approximate the H-index. While the H-index may, in theory, range between 0 and 1, observed levels of concentration fall in a much narrower range. The 1982 Census of Manufacturers reported Herfindahl indices for 440 four-digit SIC groups: The mean value was 0.067, and 95 percent of the industries had values between 0.007 and 0.128. Linkage Two variables are used as measures of environmental linkage: number of interlocks and board size. These data were collected from 1980 annual reports and proxy statements. Financial data was collected for the years 1979-'984, using Compustat tapes, annual reports, and 10-K filings. Using data from 1980 through 1984, firms were classified as high performance if they exceeded industry averages for both sales growth and return on equity (N = 41). Low-performance was characterized by sales growth and ROE below industry average (N = 51). The remainder of firms had experienced high performance on variable and low performance on another, or had missing data. Analysis The model shown in Figure 1 was tested in a simultaneous-equation model, using LISREL VI (Joreskog and Sorbom, 1986). Although not designed to estimate nonlinear or interaction terms, it is feasible to model these effects in LISREL (Hayduk, 1987; Kenny and Judd, 1984). Quadratic models may violate some assumptions of maximum-likelihood estimation (McDonald, 1978), and generalized least-squares is the suggested alternative. GLS and MLE are both scaleinvariant procedures, and usually yield very similar results (Saris and Stronkhorst, 1984). The quadratic effect is measured by two variables: the H-index and its squared value. Interpretation of this effect requires the combination of both parameters (Stolzenberg, 1980). Thus in Figures 2 and 3, the effect of complexity is shown as an equation, not a single parameter. The theoretical model was tested, and nonsignificant links were deleted. This produced the final model shown in Figure 2. A separate model for high-performing firms is shown in Figure 3. RESULTS Sample demographics Average board size for this sample was 12 directors and 22 interlocks, and varied widely across industries. The smallest board had three Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Figure 1. Structural model of hypotheses Figure 2. Results of the final LISREL model. Note: Parameter estimates are based on GLS esttaation; standard errors are listed in parentheses; unexplained vanance (zeta terms) are noted .n brackets directors, and three firms had 29 directors. Nineteen firms reported five or fewer interlocks, and one company reported none at all. Summary statistics are listed in Table 1. Crude oil and oil refining had the most munificent environments, with computers and semiconductors close behind. All four of these industries had growth rates at least double Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Figure 3. LISREL model for high-performance firms. Note: parameter estimates are based on GLS estimation; standard errors are listed in parentheses; unexplained variance (zeta terms) are noted in brackets those of paper products and hydraulic cement. Dynamism scores reveal that banking had the least volatile environment, and crude oil the most. Sample firms face substantial variations in complexity: H-scores ranged from 0.013 (commercial banking) to 0.083 (airlines). Concentration data were available for seven of the nine industry groups. Tests of hypotheses Bentler and Bonett (1980) suggest that a theorized structural model be compared against a baseline null model. The null model would hypothesize no causal links among any of the variables, and produced a x2 statistic of 363.10 (11 d.f., p = 0.0001). Summary statistics for all models are shown in Table 2, and the correlation matrices used to test hypotheses are shown in Table 3. The theoretical model is a significant improvement over the null. The effects of dynamism and complexity on interlocking were not significant, and were removed from the model. This adjusted theoretical model is shown in Figure 2. x2 f°r this model is 1.89, indicating a satisfactory fit to the data. Reduction in x2 from the null is 361.21 (8 d.f.) and is highly significant. The goodness- Table 2. Summary statistics for d.f. LISREL models GFI GFI. RMSR CED Model Full sample 11 3 Null model Final model 0.287 0.009 363.10 0.654 0.119 1.89 0.9% 0.965 High performing firms Null model 11 104.59 0.677 0.179 0.274 0.000 Final model 2 0.11 0.999 0.989 0.004 0.897 GFI = Goodness-of-fit index; GFI,, = GFI adjusted for degrees of freedom; RMSR = root mean square residual; CED = coefficient of determination for model. of-fit (GFI) adusted for degrees of freedom is 0.965 for the final model, compared to 0.119 for the null. The root mean square residual and slope of the g-Plot a,so show tl>e final model to be an effective fit to the data. Overall, this model explains nearly three quarters of the variance of both board size (A?2 = 0.69) and interlocking (R2 = 0.74). Test of hypotheses revealed some interesting differences between board size and number of interlocks. First, however, a clarification of the Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. environmental variables is necessary. Munificence measures the availability of resources in the environment: The higher the score on this variable, the more abundant the environment; i.e. munificence is negatively correlated with uncertainty. Dynamism measures the level of volatility, and is positively associated with uncertainty. The relationship between complexity and uncertainty is nonlinear. If boards are a response to environmental uncertainty, one would expect negative coefficients between munificence and linkage, and positive coefficients for dynamism, in relation to both board size and interlocks. The nonlinear effect of complexity would be modeled as a quadratic term. Factor models by Dess and Beard (1984) and Rasheed and Prescott (1987) found these three dimensions to be orthogonal. Therefore, munificence, dynamism, and complexity are expected to produce effects independent of each other. Hypothesis 1 state that munificence would have a negative effect on environmental linkage. This hypothesis was partially supported. A coefficient of -0.191 revealed that, as hypothesized, the number of interlocks is greater in a less munificent environment. However, a coefficient of 0.183 indicated that board size actually increased as resources became more abundant. Hypothesis 2 stated that dynamism would have a positive effect on environmental linkage. This hypothesis was partially supported by the 0.113 coefficient for board size. Dynamism was unrelated to interlocking. Hypothesis 3 stated that complexity would have a nonlinear effect on environmental linkage. A quadratic effect was found for directors, but not for interlocks. The equation for directors is: Board size: ----- 3.993H + 3.471 H2 A graph of this relationship is shown in Figure 4, and is in the opposite direction of prediction: Board size is larger under perfect competition or monopoly, i.e., board size is negatively related to this dimension of uncertainty. Hypothesis 4 stated that firm size is positively related to both board size and number of interlocks. This hypothesis was supported for both variables. Hypothesis 5 stated that board size is positively related to the number of interlocks. This hypothesis was supported with a significant coefficient of 0.367. Test of hypotheses: high-performance firms Forty-one firms reported sales growth and return on equity higher than their industry averages, and were distributed across all nine industry groups. A separate model for this subgroup is shown in Figure 3. Results are similar to the overall analysis, with some important differences. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Figure 4. Quadratic models for complexity The null model for this group produced a X2 = 104.59 (11 d.f.) indicating that this model is not random variation. Adjusted goodness of fit for the null is 0.179. x2 for the final model is 0.11 (2 d.f.), a significant improvement. Goodness-of-fit, root mean square residual, and the Q-p\ol all show this model to be an excellent fit to the data. Overall coefficient of determination is 0.897. R2 values for board size and interlocking were 0.731 and 0.728, respectively. As with the overall sample, munificence has opposite effects on board size and interlocks. As resources become more scarce, the number of interlocks increase while board size declines. A comparison of parameter estimates for highperforming firms versus the overall sample suggests that high-performing firms are more sensitive to changes in resource scarcity. Dynamism had a small effect on board size in the overall sample, but was unrelated to board size or interlocks in the high performance group. High-performing firms reported nonlinear effects for complexity with both board size and number of interlocks. The complexity equations Board size: -6.075 H + 5.213 H2 Interlocks: +4.488 H - 3.868 H2 Competitive uncertainty has a positive effect on frequency of interlocks. As with munificence, high-performing firms exhibit a stronger response to this level of uncertainty: The parabola (see Figure 4) is more pronounced for high performers than the overall sample. Faced with the same level of competitive uncertainty, high performers will make greater reductions in board size. Simultaneously, firms respond to the same source of uncertainty by increasing their number of interlocks. Hypotheses 4 and 5 were also supported. Size has a positive ettect on both board size and linkage in the high performing group. Board size also has a positive effect on interlocking. DISCUSSION The goal of the present study was to clarify the board's role in strategic management. 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The Emergent American Society: Large-Scale Organizations, Yale University Press, New Haven, CT, 1967. Weidenbaum, M. L. 'Updating the corporate board', Journal of Business Strategy, 7, Summer 1986, pp. 77-83. APPENDIX: DATA SOURCES USED FOR ENVIRONMENTAL MEASURES Munificence: Abundance of resources in an industry. Measurement: Regression slope coefficient, divided by mean value. Coefficients are based on regression of time against value of shipments. Estimate for any given year is based on the 5 preceding years, i.e. munificence estimate for 1980 is based on data from 1976-1980. Industries are defined using four-digit SIC codes. Data Source: U.S. Industrial Outlook. Note: This is the measurement method suggested by Dess and Beard (1984). Keats and Hitt (1988) suggest regressing time against the natural log of industry sales. Munificence would then be measured by the antilog of the regression coefficient. Both procedures yield very similar results. Using data from the present study, Pearson correlation for these two measures of munificence is 0.99 (p < 0.0001). Alternate measures of dynamism are also strongly correlated (r = 0.88, p < 0.001). Dynamism: Instability or volatility in an industry. Measurement: Standard error of regression slope coefficient divided by the mean value; using same regression model as for munificence. Data source: U.S. Industrial Outlook Complexity: Heterogeneity in the environment, and concentration of resources. Measurement: Herfindahl-Hirschman index. Data sources: (a) Airline: Index was estimated from Table 1: 'Income statement, data of certified route carriers', Air Carrier Financial Statistics, December 1980, Civil Aeronautics Board, Washington, DC; U.S. GPO. (b) Commercial banks: Index estimated from table 'The three hundred largest banks in the United States in order of deposits December 31, 1980', Moody's Bank and Finance Manual, 1981: a4-a5. (c) All other groups: U.S. Bureau of the Census, Census of Manufacturers, 1982. Index for 1980 based on interpolation of 1977 and 1982 measures. Index was estimated using 4, 8, 20, and 50 firm concentration ratios, and the MINL approximation suggested by Schmalensee (1977: 187). Using data from the present study, MINL estimates for 1982 were found to correlate highly (r = 0.95, p < 0.001) with published Commerce Department H-values for that year. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.