Create an output-coefficient matrix from a symmetric input–output table or a use table. Output coefficients can be interpreted as the market shares of products in total output (row-wise normalization).
output_coefficient_matrix_create(data_table, total = "tfu", digits = NULL)A data.frame whose first column is the key (product labels) and
the remaining columns form the output-coefficient matrix. Column order
follows the input.
A symmetric input–output table, use table, margins, or
tax table retrieved by iotable_get(). If you request
total = "tfu" (total final use), you must supply a full table from
iotable_get() because the TFU column is in the second quadrant.
Which total to use for normalization. Use "total" (or the
present table variant name, e.g. "CPA_TOTAL") for output by product, or
"tfu" / "total_final_use" / "final_demand" for total final use.
Default: "tfu".
Integer number of decimal places for rounding. Default NULL
(no rounding).
Let \(Z\) be the inter-industry flow block and \(x\) the vector of
product output (or, for final-demand shares, total final use).
The output-coefficient matrix \(B\) is defined row-wise as
\(b_{ij} = z_{ij} / x_i\). In practice, zeros in the denominator can make
equations unsolvable; this function replaces zeros with a small epsilon
(1e-6) to avoid division by zero.
Eurostat, Manual of Supply, Use and Input-Output Tables (e.g., pp. 495, 507) describes output coefficients and the Ghosh framework you may use these with.
Other analytic object functions:
ghosh_inverse_create(),
input_flow_get(),
leontief_inverse_create(),
leontief_matrix_create()
data_table <- iotable_get()
output_coefficient_matrix_create(
data_table = data_table,
total = "tfu",
digits = 4
)
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