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Open Access

Firms and Skills

The Evolution of Worker Sorting

Christina Håkanson, Erik Lindqvist and Jonas Vlachos
Journal of Human Resources, March 2021, 56 (2) 512-538; DOI: https://doi.org/10.3368/jhr.56.2.0517-8801R2
Christina Håkanson
Christina Håkanson is a senior economist at the Swedish Fiscal Policy Council.
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Erik Lindqvist
Erik Lindqvist is a professor at the Swedish Institute for Social Research (SOFI) at Stockholm University and an affiliated researcher at the Research Institute of Industrial Economics (IFN).
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  • For correspondence: [email protected]
Jonas Vlachos
Jonas Vlachos is a professor at the Department of Economics at Stockholm University.
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Article Figures & Data

Figures

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  • Figure 1
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    Figure 1

    Sorting by Cognitive and Noncognitive Skill

    Notes: The sample includes men 30–35 years old employed at private firms with at least ten employees. Variance components are corrected for sample size according to the procedure in Online Appendix B1.

  • Figure 2
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    Figure 2

    Sorting by Education

    Notes: Educational attainment is measured in years of schooling (A) and years of schooling standardized by cohort (B). The sample includes men 30–35 years old with observable cognitive and noncognitive skills employed at private firms with at least ten employees. Variance components are corrected for sample size according to the procedure in Online Appendix B1.

  • Figure 3
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    Figure 3

    Sorting by Worker Effects from the Abowd, Kramarz, and Margolis Model

    Notes: The figure shows the variance components of worker effects standardized by cohort from the AKM model described in Online Appendix D. The sample includes male workers between age 24 and 60 in privatesector firms with at least ten employees (A) and men 30–35 years old with observable cognitive and non-cognitive skills employed by private-sector firms with at least ten employees (B). Variance components are corrected for sample size according to the procedure in Online Appendix B1.

  • Figure 4
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    Figure 4

    Decomposing the between-Firm Variance: Industries

    Notes: The sample includes men 30–35 years old with observable cognitive and noncognitive skills employed at private firms with at least ten employees. Variance components are corrected for sample size according to the procedure in Online Appendix B1.

  • Figure 5
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    Figure 5

    Counterfactual between-Firm Variance: Excluding the ICT Sector

    Notes: The sample includes men 30–35 years old with observable cognitive and noncognitive skills employed atprivate firms with at leastten employees. Variance components are corrected for sample size according to the procedure in Online Appendix B1.

  • Figure 6
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    Figure 6

    Decomposing the Variance of Wages

    Notes: The sample includes men 30–35 years old with observable cognitive and noncognitive skills employed at private firms with at least ten employees. Variance components are corrected for sample size according to the procedure in Online Appendix B1.

  • Figure 7
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    Figure 7

    Decomposing the between-Firm Variance of Wages

    Notes: The sample includes men 30–35 years old with observable cognitive and noncognitive skills employed at private firms with at least ten employees. The predicted and counterfactual variances are based on Equation 3 and corrected for sample size according to the procedure in Online Appendix B1.

Tables

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    Table 1

    Robustness of Basic Sorting Patterns

    SampleFirm Size
    Baseline
    (1)
    ME Corrected
    (2)
    Uniformly Distributed Skills
    (3)
    Men 30–45
    (4)
    + Women 30–35
    (5)
    + Public-Sector Firms
    (6)
    - Low-Skilled Mena
    (7)
    ≥50 Employees
    (8)
    ≥100 Employees
    (9)
    Plants
    (10)
    Panel A: Cognitive Skill
    Between-firm variance
    19860.1730.1970.1730.1410.1660.1430.1510.1390.209
    19970.2250.2580.2260.1980.1730.2300.2030.2000.1860.265
    20080.2290.2640.2320.2280.1780.2330.2060.1910.1720.264
    Within-firm variance
    19860.8400.8170.8360.8630.8480.7470.8750.8900.811
    19970.7470.7140.7580.7810.7990.7510.6970.7870.8030.722
    20080.7210.6860.7340.7340.7730.7220.6900.7550.7680.693
    Panel B: Noncognitive Skill
    Between-firm variance
    19860.0810.1110.0790.0720.0760.0700.0610.0550.099
    19970.1090.1560.1140.0970.0940.1110.0960.0880.0800.135
    20080.1100.1560.1130.1080.0920.1120.0910.0880.0810.130
    Within-firm variance
    19860.8720.8410.8870.8940.8790.8290.8890.8950.849
    19970.7860.7390.8220.8060.8280.7900.7440.8030.8050.763
    20080.8010.7550.8250.7940.8420.8010.7620.8140.8160.782
    • Notes: The table shows the variance decompositions outlined in Section III of the paper. See Online Appendix Table C1 for the results from simulated variance components under random allocation of workers to firms (for the baseline case).

    • ↵a. The share of the sample with low education falls dramatically over time. The cutoff, ten years or fewer of education, implies that 35 percent are dropped in 1986, compared to 14 percent in 1997 and 8 percent in 2008. This is due to the rapid expansion of upper-secondary education.

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    Table 2

    Average Skills by Industry

    Cognitive SkillNoncognitive SkillShare Workers (Percent)
    NACEIndustry1986Change 1986–20081986Change 1986–20081986Change 1986–2008
    72Computer and related activities0.750.000.270.001.407.04
    32Manufacture of radio, television, and communication equipment0.450.160.090.151.920.10
    65Financial intermediation, except insurance and pension funding0.320.100.230.252.70-0.48
    74Other business activities0.250.050.120.057.834.99
    51Wholesale trade and commission trade, except of motor vehicles0.13-0.160.12-0.019.96-1.51
    22Publishing, printing, and reproduction of recorded media0.100.05-0.090.032.59-1.22
    55Hotels and restaurants0.08-0.29-0.04-0.031.330.35
    63Supporting and auxiliary transport activities0.07-0.240.04-0.121.530.44
    24Manufacture of chemicals and chemical products0.050.11-0.030.141.72-0.17
    52Retail trade, repair of personal and household goods-0.07-0.07-0.04-0.022.371.80
    64Post and telecommunications-0.080.330.29-0.180.031.68
    34Manufacture of motor vehicles, trailers, and semitrailers-0.090.01-0.100.025.34-0.48
    29Manufacture of machinery and equipment-0.110.10-0.090.097.04-1.33
    50Sale, maintenance, and repair of motor vehicles and motorcycles-0.17-0.14-0.05-0.112.960.02
    70Real estate activities-0.220.18-0.070.171.84-0.89
    45Construction-0.23-0.06-0.030.0010.300.85
    21Manufacture of paper and paper products-0.250.09-0.110.094.20-2.84
    28Manufacture of fabricated metal products-0.28-0.05-0.21-0.044.24-0.96
    15Manufacture of food products and beverages-0.28-0.09-0.190.013.39-1.18
    27Manufacture of basic metals-0.360.10-0.220.081.96-0.30
    60Land transport, transport via pipelines-0.36-0.09-0.29-0.042.780.04
    20Manufacture of wood and of products of wood-0.440.03-0.210.052.56-0.99
    • Notes: Mean of skills and relative sizes of industries in 1986, and the changes between 1986 and 2008. Only industries with at least 1.5 percent of the workforce in 1986 or 2008 are included. The sample is restricted to men 30–35 years old employed at firms with at least ten employees. The description of some industries has been abbreviated.

    • View popup
    Table 3

    Average within-Firm Variance by Industry

    Cognitive SkillNoncognitive SkillShare Workers (%)
    NACEIndustry1986Change 1986–20081986Change 1986–20081986Change 1986–2008
    34Manufacture of motor vehicles, trailers, and semitrailers1.06-0.130.92-0.095.34-0.48
    24Manufacture of chemicals and chemical products1.04-0.180.94-0.141.72-0.17
    32Manufacture of radio, television, and communication equipment0.97-0.260.89-0.161.920.10
    15Manufacture of food products and beverages0.95-0.110.90-0.073.39-1.18
    21Manufacture of paper and paper products0.95-0.180.89-0.054.20-2.84
    29Manufacture of machinery and equipment n.e.c.0.93-0.080.83-0.017.04-1.33
    20Manufacture of wood and of products of wood and cork0.93-0.160.80-0.042.56-0.99
    27Manufacture of basic metals0.91-0.070.820.091.96-0.30
    55Hotels and restaurants0.87-0.161.02-0.131.330.35
    28Manufacture of fabricated metal products, except machinery0.87-0.070.85-0.054.24-0.96
    22Publishing, printing, and reproduction of recorded media0.83-0.091.01-0.102.59-1.22
    63Supporting and auxiliary transport activities0.80-0.031.00-0.191.530.44
    51Wholesale trade and commission trade, except of motor vehicles0.79-0.130.88-0.099.96-1.51
    74Other business activities0.78-0.110.86-0.067.834.99
    52Retail trade, repair of personal and household goods0.78-0.030.89-0.022.371.80
    60Land transport, transport via pipelines0.78-0.020.83-0.082.780.04
    70Real estate activities0.77-0.090.85-0.011.84-0.89
    45Construction0.75-0.130.80-0.0510.300.85
    50Sale, maintenance, and repair of motor vehicles and motorcycles0.74-0.070.79-0.022.960.02
    65Financial intermediation, except insurance and pension funding0.63-0.020.86-0.132.70-0.48
    72Computer and related activities0.540.050.81-0.031.407.04
    64Post and telecommunications0.450.320.96-0.130.031.68
    • Notes: Average within-firm variance of skills and relative sizes of industries in 1986, and their changes between 1986 and 2008. Only industries with at least 1.5 percent of the workforce in 1986 or 2008 are included. The sample is restricted to men 30–35 years old employed at firms with at least ten employees. The description of some industries has been abbreviated.

    • View popup
    Table 4

    Decomposing the Variance of Wages

    Actual VariancePredicted VarianceResidual VarianceCounterfactual Predicted Wage Variance
    1986
    (1)
    2008
    (2)
    1986
    (3)
    2008
    (4)
    1986
    (5)
    2008
    (6)

    (7)

    (8)
    Total0.04960.0727
     Between firms0.01700.03050.00960.01560.00740.01490.01270.0119
     Within firms0.03260.04230.00390.00320.02870.03910.00350.0036
    Gradients1986200819862008
    Sorting1986200820081986
    • Notes: Wage variance decompositions as described in Section VI of the paper. The variance components in Columns 3–4 and 7–8 are constructed using the 1986 or 2008 skill gradients or sorting patterns as indicated.

Additional Files

  • Figures
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  • Free alternate access to The Journal of Human Resources supplementary materials is available at https://uwpress.wisc.edu/journals/journals/jhr-supplementary.html

    • 0517-8801R2_supp.pdf
    • 0517-8801R2_repmat.zip
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Journal of Human Resources: 56 (2)
Journal of Human Resources
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31 Mar 2021
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Firms and Skills
Christina Håkanson, Erik Lindqvist, Jonas Vlachos
Journal of Human Resources Mar 2021, 56 (2) 512-538; DOI: 10.3368/jhr.56.2.0517-8801R2

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Firms and Skills
Christina Håkanson, Erik Lindqvist, Jonas Vlachos
Journal of Human Resources Mar 2021, 56 (2) 512-538; DOI: 10.3368/jhr.56.2.0517-8801R2
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  • Article
    • Abstract
    • I. Introduction
    • II. Data
    • III. Measuring Sorting
    • IV. Sorting by Skill 1986–2008
    • V. Decomposing the Change in Sorting
    • VI. Sorting and Firm Wage Differentials
    • VII. Conclusions
    • Footnotes
    • References
  • Figures & Data
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