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Title

iot: Leontief Input-Output Table

Table of Contents

Syntax

Options

Description

Saved Results

References

*** Examples

Authors

Syntax

iot varlist , fd(vars) [ invt(#) ml(var) export(var) import(var) fc(var)

pall piost pis pos pist post pcmt pcm pssr pcheck pia padjia pinvia pmliou

pmliot pmlio1 pmlio2 piot1 piot2 piot3 pioth pioth1 pioth2 pioth3

format(#) save(file_name) list txt ]

Options

* varlist Input-Output Sectors (Intermediate Input-Output).

* fd(vars) Final Demand.

invt(1, 2) Leontief Inverse Matrix Type:
1- Non-Competitive Import Type: {(I-A)^-1} (Simplified Model excluding Import)
2- Competitive Import Type: {[I-(I-M)A]^-1}

fc(var) Final Demand Prediction.

export(var) Export Variable.

import(var) Import Variable (Positive).
if Import Variable is included among Final Demand variables.
in fd( ) option, it must be Negative.

ml(var) Multiplier = Change Final Demand in each sector
to get new level of total demand. Default is (1).

format(#) Set variables' output format, i.e:
format(10.3fc) , format(12.0f)

list Add Input-Output Variables to Data List.

save(file_name) Save Input-Output Table Results in File (*.csv).

txt Save Results in text File (*.txt) instead of (*.csv).

pall Print All Tables

piost Print Input-Output Sectors Transactions

pis Print Input Share (%) in Intermediate Input (Ij)

pos Print Output Share (%) in Intermediate Output (Oi)

pist Print Intermediate Input & Value Added Share in Total Output

post Print Intermediate & Final Output Share in Total Output

pcmt Print [(A)] Technical Coefficients Matrix Table

pcm Print [(A)] Technical Coefficients Matrix

pssr Print (SSR) Self Sufficiency Ratio

pcheck Print Check Input-Output Table Matrix

pia Print [(I-A)] Leontief Matrix

padjia Print [a(I-A)] Adjusted Leontief Matrix

pinvia Print [inv(I-A)] Leontief Inverse Matrix

pmliou Print [MLIOU] Unit Input-Output Multiplier Table

pmliot Print [MLIOT] Total Input-Output Multiplier Table

pmlio1 Print Total Input-Output Multiplier [Final Output (Demand)]

pmlio2 Print Total Input-Output Multiplier [Total Output (Demand)]

piot1 Print Input-Output Sectors

piot2 Print Output Sectors

piot3 Print Input Sectors

pioth Print Predicted (h) Leontief Input-Output Table

pioth1 Print Predicted Input-Output Sectors

pioth2 Print Predicted Output Sectors

pioth3 Print Predicted Input Sectors

Description

iot estimates Leontief Input-Output Table.

=========================================================
*** Leontief Input-Output Table ***
=========================================================
+-----------------------------------------------------+
| Sector | S1 S2 S3 .. Si | Oi | Yi | (R)Xi |
|========|====================|=======|=======|=======|
| S1 | X11 X12 X13 .. X1j | O1 | Y1 | X1 |
| S2 | X21 X22 X23 .. X2j | O2 | Y2 | X2 |
| S3 | X31 X32 X33 .. X3j | O3 | Y3 | X3 |
| .. | ... ... ... .. ... | .. | .. | .. |
| Sj | Xi1 Xi2 Xi3 .. Xij | Oi | Yi | Xi |
|=====================================================|
| Ij | I1 I2 I3 .. Ij | Oi=Ij | | |
+--------+--------------------+-------+-------+-------+
| Vj | V1 V2 V3 .. Vj | | Yi=Vj | |
+--------+--------------------+-------+-------+-------+
| (C)Xj | X1 X2 X3 .. Xj | | | Xi=Xj |
+=====================================================+
| Oi = Intermediate Output (Demand) (O1, O2,..., Oi) |
| Yi = Final Output (Demand) (Y1, Y2,..., Yi) |
| Xi = Total Output (Demand) (X1, X2,..., Xi) |
-------------------------------------------------------
| Ij = Intermediate Input (Supply) (I1, I2,..., Ij) |
| Vj = Value Added (GDP) (V1, V2,..., Vj) |
| Xj = Total Input (Supply) (X1, X2,..., Xj) |
-------------------------------------------------------
| (A) = Technical Coefficients Matrix |
| (I) = Identity Matrix (n x n) |
| (I-A) = Leontief Matrix |
| i(I-A) = Leontief Inverse Matrix (Multiplier) |
-------------------------------------------------------

iot can estimate the following results:
- Leontief Input-Output Table
- Input-Output Sectors Transactions
- Input Share (%) in Intermediate Input (Ij)
- Output Share (%) in Intermediate Output (Oi)
- [(A)] Technical Coefficients Matrix Table
- [(A)] Technical Coefficients Matrix
- Check Input-Output Table Matrix
- [(I-A)] Leontief Matrix
- [a(I-A)] Adjusted Leontief Matrix
- [inv(I-A)] Leontief Inverse Matrix
- [MLIOU] Unit Input-Output Multiplier Table
- [MLIOT] Total Input-Output Multiplier Table
- Total Input-Output Multiplier [Final Output (Demand)]
- Total Input-Output Multiplier [Total Output (Demand)]
- Predicted (h) Leontief Input-Output Table

** Final Demand =
+ Household Final Consumption Expenditure
+ Government Final Consumption Expenditure
+ NPISHs Final Consumption Expenditure
+ Gross Fixed Capital formation
+ Changes in Inventories
+ Export
** Total Final Demand = Final Demand - Import

Saved Results

iot saves the following results in e():

Matrixes
e(a) (A) Technical Coefficients Matrix
e(check) Check I-O Table Matrix
e(ia) (I-A) Leontief Technical Coefficients Matrix
e(invia) inv(I-A) Leontief Technical Coefficients Inverse Matrix
e(inviam) Total Input-Output Multiplier
e(mliou) Unit Input-Output Multiplier Table
e(mliot) Total Input-Output Multiplier Table
e(adjia) Adjusted (I-A) Leontief Technical Coefficients Matrix
e(ml) Input-Output Table Multiplier
e(iot) Leontief Input-Output Table Results
e(iott) Leontief Input-Output Table
e(ioth) Predicted Leontief Input-Output Table

References

Chiang, Alpha (1984)
"Fundamental Methods of Mathematical Economics",
3rd ed., McGraw-Hill Book Company Inc., New York, USA.

Dowling, Edward Thomas (1992)
"Introduction to Mathematical Economics",
{it:2nd ed. New York, McGraw-Hill - Schaum's Outlines.

Heady, Earl O. & Carter, Harlod O (1959)
"Input-Output Models as Techniques of Analysis for Interregional Competition",
J. Farm Econ., Vol. 41, No. 5, Dec., 1959; 978-991.

Leontief, Wassily W (1953)
"Studies in the Structure of the American Economy",
New York & Oxford Press USA.

Sadoulet, Elisabeth & Alain Dejanvry (1993)
"Quantitative Development Policy Analysis",
Agric. and Resource Econ., Univ. of California, USA.

*** Estimation Input-Output Model in other Software ***

*** (1) Lindo Software: Input-Output Model (Minimum Model):

Min X1 + X2 + X3
s.t.
1) 0.857143 X1 - 0.4000 X2 - 0.0769 X3 > 50
2) -0.357143 X1 + 0.9333 X2 - 0.6154 X3 > 10
3) -0.285714 X1 - 0.2000 X2 + 0.8462 X3 > 40
End

Global optimal solution found.
Objective value: 419.9879
Infeasibilities: 0.000000
Total solver iterations:	3

Variable Value Reduced Cost
X1 139.9959 0.000000
X2 150.0004 0.000000
X3 129.9916 0.000000

Row Slack or Surplus Dual Price
1 419.9879 -1.000000
2 0.000000 -4.186084
3 0.000000 -3.791164
4 0.000000 -4.319301

*** (2) Lindo Software: Input-Output Model (Maximum Model):

Max 50 X1 + 10 X2 + 40 X3
s.t.
1) 0.85714 X1 - 0.35714 X2 - 0.28571 X3 < 1
2) -0.40000 X1 + 0.93333 X2 - 0.20000 X3 < 1
3) -0.07692 X1 - 0.61538 X2 + 0.84615 X3 < 1
End

Global optimal solution found.
Objective value: 419.9977
Infeasibilities: 0.000000
Total solver iterations:	3

Variable Value Reduced Cost
X1 4.186114 0.000000
X2 3.791103 0.000000
X3 4.319524 0.000000

Row Slack or Surplus Dual Price
1 419.9977 1.000000
2 0.000000 139.9994
3 0.000000 149.9989
4 0.000000 129.9994

*** (3) SHAZAM Software: Input-Output Model (Solve Sets of Equations):

Samp 1 1
NL 3 / NC=3 SoLve
EQ 90 -(0.1429*X1 + 0.4000*X2 + 0.0769*X3)
EQ 140-(0.3571*X1 + 0.0667*X2 + 0.6154*X3)
EQ 90 -(0.2857*X1 + 0.2000*X2 + 0.1538*X3)
End

COEFFICIENT STARTING VALUES
X1 1.0000 X2 1.0000 X3 1.0000
100 MAXIMUM ITERATIONS, CONVERGENCE = 0.100000E-04

INITIAL STATISTICS :
TIME = 0.0000 SEC. ITER. NO. 0 FUNCT. EVALUATIONS 1
FUNCTION VALUE= 35284.22 FUNCTION VALUE/N = 35284.22
COEFFICIENTS
1.000000 1.000000 1.000000
GRADIENT
-175.8513 -125.7857 -212.2669

INTERMEDIATE STATISTICS :
TIME = 0.0000 SEC. ITER. NO. 15 FUNCT. EVALUATIONS 18
FUNCTION VALUE= 0.1953562E-12 FUNCTION VALUE/N = 0.1953562E-12
COEFFICIENTS
140.0638 149.9767 129.9639
GRADIENT
0.3935958E-06 0.2209917E-06 0.5493805E-06

FINAL STATISTICS :
TIME = 0.0000 SEC. ITER. NO. 16 FUNCT. EVALUATIONS 19
FUNCTION VALUE= 0.1953562E-12 FUNCTION VALUE/N = 0.1953562E-12
COEFFICIENTS
140.0638 149.9767 129.9639
GRADIENT
0.3935958E-06 0.2209917E-06 0.5493805E-06
COEFFICIENT
X1 140.06
X2 149.98
X3 129.96

Examples

clear all

sysuse iot.dta, clear

format * %15.3fc
format * %15.3f

iot s1 s2 s3 , invt(1) fd(y1 y2 y3 y4 y5 y6) pall

iot s1 s2 s3 , invt(1) fd(y1 y2 y3 y4) export(exp) import(imp) pall

iot s1 s2 s3 , invt(2) fd(y1 y2 y3 y4) export(exp) import(imp) pall

iot s1 s2 s3 , fd(fd)

iot s1 s2 s3 , fd(fd) ml(ml) format(10.3f)

iot s1 s2 s3 , fd(fd) ml(ml) list
iot s1 s2 s3 , fd(fd) ml(ml) list save(D:\iot)

iot s1 s2 s3 , fd(fd) fc(yh) ml(ml)
iot s1 s2 s3 , fd(fd) fc(yh) ml(ml) list
iot s1 s2 s3 , fd(fd) fc(yh) ml(ml) save(D:\iot)
iot s1 s2 s3 , fd(fd) fc(yh) ml(ml) save(D:\iot) list

matlist e(a)
matlist e(check)
matlist e(ia)
matlist e(adjia)
matlist e(invia)
matlist e(ml)
matlist e(mliou)
matlist e(mliot)
matlist e(iot)
matlist e(iott)
matlist e(ioth)

ereturn list

matrix Aij_= e(a)
svmat Aij_

matrix Mij_= e(invia)
svmat Mij_

clear all
sysuse iot.dta, clear
format * %15.3fc
format * %15.3f
iot s1 s2 s3 , invt(1) fd(fd) fc(yh) ml(ml) pall list save(D:\iot)

============================================================
*** Leontief Input-Output Table ***
============================================================
+---------------------------------------------------------+
| Sector | S1 S2 S3 ... Si | Oi | Yi | (R)Xi |
|========|========================|=======|=======|=======|
| S1 | X11 X12 X13 ... X1j | O1 | Y1 | X1 |
| S2 | X21 X22 X23 ... X2j | O2 | Y2 | X2 |
| S3 | X31 X32 X33 ... X3j | O3 | Y3 | X3 |
| .. | ... ... ... ... ... | .. | .. | .. |
| Sj | Xi1 Xi2 Xi3 ... Xij | Oi | Yi | Xi |
|=========================================================|
| Ij | I1 I2 I3 ... Ij | Oi=Ij | | |
+--------+------------------------+-------+-------+-------+
| Vj | V1 V2 V3 ... Vj | | Yi=Vj | |
+--------+------------------------+-------+-------+-------+
| (C)Xj | X1 X2 X3 ... Xj | | | Xi=Xj |
+=========================================================+
| Oi = Intermediate Output (Demand) (O1, O2,..., Oi) |
| Yi = Final Output (Demand) (Y1, Y2,..., Yi) |
| Xi = Total Output (Demand) (X1, X2,..., Xi) |
-----------------------------------------------------------
| Ij = Intermediate Input (Supply) (I1, I2,..., Ij) |
| Vj = Value Added (GDP) (V1, V2,..., Vj) |
| Xj = Total Input (Supply) (X1, X2,..., Xj) |
-----------------------------------------------------------
| (A) = Technical Coefficients Matrix |
| (I) = Identity Matrix (n x n) |
| (I-A) = Leontief Matrix (Non-Competitive Import Model)|
| [I-(I-M)*A] = Leontief Matrix (Competitive Import Model)|
| (I-A)^-1 = Leontief Inverse Matrix (Multiplier) |
-----------------------------------------------------------

*** Leontief Input-Output Table ***
+---------------------------------------------------------------+
| Sector | s1 s2 s3 Oi Yi | (R) Xi |
|---------+------------------------------------------+----------|
| s1 | 20 60 10 90 50 | 140 |
| s2 | 50 10 80 140 10 | 150 |
| s3 | 40 30 20 90 40 | 130 |
| Ij | 110 100 110 320 . | . |
| Vj | 30 50 20 . 100 | . |
|---------+------------------------------------------+----------|
| (C) Xj | 140 150 130 . . | 420 |
+---------------------------------------------------------------+
* (Oi) Intermediate Output = (Ij) Intermediate Input = 320
* (Yi) Final Output = (Vj) Value Added = 100
* (Xi) Total Output = (Xj) Total Input = 420
-----------------------------------------------------------------
*** Non-Competitive Import Model ***
*** Sectors Name: s1 s2 s3
*** Final Demand: fd
*** Sectors Matrix: (3 x 3)

*** Input-Output Sectors Transactions ***
+--------------------------------------------------------+
| Sector | s1 s2 s3 | Total(R) |
|--------------+------------------------------+----------|
| s1 | 1 1 1 | 3 |
| s2 | 1 1 1 | 3 |
| s3 | 1 1 1 | 3 |
|--------------+------------------------------+----------|
| Total(C) | 3 3 3 | . |
+--------------------------------------------------------+

*** Input Share (%) in Intermediate Input (Ij) ***
+-----------------------------------------+
| Sector | s1 s2 s3 |
|----------+------------------------------|
| s1 | 18.182 60.000 9.091 |
| s2 | 45.455 10.000 72.727 |
| s3 | 36.364 30.000 18.182 |
|----------+------------------------------|
| Total(C) | 100.000 100.000 100.000 |
+-----------------------------------------+

*** Output Share (%) in Intermediate Output (Oi) ***
+----------------------------------------------------+
| Sector | s1 s2 s3 | Total(R) |
|----------+------------------------------+----------|
| s1 | 22.222 66.667 11.111 | 100.000 |
| s2 | 35.714 7.143 57.143 | 100.000 |
| s3 | 44.444 33.333 22.222 | 100.000 |
+----------------------------------------------------+

*** Intermediate Input & Value Added Share in Total Intput ***
+---------------------------------------------------------------------+
| Sector | Ij | Ijs (%) | Vj | Vjs (%) | Xj |
|--------------+----------+----------+----------+----------+----------|
| s1 | 110.00 | 78.57 | 30.00 | 21.43 | 140.00 |
| s2 | 100.00 | 66.67 | 50.00 | 33.33 | 150.00 |
| s3 | 110.00 | 84.62 | 20.00 | 15.38 | 130.00 |
+---------------------------------------------------------------------+
* (Ij) = Intermediate Intput
* (Ijs)= Intermediate Intput Share in Total Intput (Xj)
* (Vj) = Value Added
* (Vjs)= Value Added Share in Total Intput (Xj)
* (Xj) = Total Intput
-------------------------------------------------------------------------

*** Intermediate & Final Output Share in Total Output ***
+--------------------------------------------------------------------------+
| Sector | Oi | Ois (%) | Yi | Yis (%) | Xi |
|--------------+-----------+-----------+-----------+-----------+-----------|
| s1 | 90.00 | 64.29 | 50.00 | 35.71 | 140.00 |
| s2 | 140.00 | 93.33 | 10.00 | 6.67 | 150.00 |
| s3 | 90.00 | 69.23 | 40.00 | 30.77 | 130.00 |
+--------------------------------------------------------------------------+
* (Oi) = Intermediate Output
* (Ois)= Intermediate Output Share in Total Output (Xi)
* (Yi) = Final Output
* (Yis)= Final Output Share in Total Output (Xi)
* (Xi) = Total Output
-------------------------------------------------------------------------

*** [(A)] Technical Coefficients Matrix Table ***
+-----------------------------------------------+
| Sector | s1 | s2 | s3 |
|--------------+----------+----------+----------|
| s1 | 0.1429 | 0.4000 | 0.0769 |
| s2 | 0.3571 | 0.0667 | 0.6154 |
| s3 | 0.2857 | 0.2000 | 0.1538 |
| Value Added | 0.7857 | 0.6667 | 0.8462 |
| Total Input | 1.0000 | 1.0000 | 1.0000 |
+-----------------------------------------------+

*** [(A)] Technical Coefficients Matrix ***
+-----------------------------------------------+
| Sector | s1 | s2 | s3 |
|--------------+----------+----------+----------|
| s1 | 0.1429 | 0.4000 | 0.0769 |
| s2 | 0.3571 | 0.0667 | 0.6154 |
| s3 | 0.2857 | 0.2000 | 0.1538 |
+-----------------------------------------------+

*** Check Input-Output Table Matrix ***
+-----------------------------------------------------------------+
| Sector | Oi1 | Oi2 | Difference |
|-----------------+---------------+---------------+---------------|
| s1 | 90.000 | 90.000 | 0.000 |
| s2 | 140.000 | 140.000 | 0.000 |
| s3 | 90.000 | 90.000 | 0.000 |
+-----------------------------------------------------------------+
* Oi1 = Xi - Y
* Oi2 = A * Xi
--------------------------------------------------------------------

*** [(I-A)] Leontief Matrix ***
+-----------------------------------------------+
| Sector | s1 | s2 | s3 |
|--------------+----------+----------+----------|
| s1 | 0.8571 | -0.4000 | -0.0769 |
| s2 | -0.3571 | 0.9333 | -0.6154 |
| s3 | -0.2857 | -0.2000 | 0.8462 |
+-----------------------------------------------+

*** [a(I-A)] Adjusted Leontief Matrix ***
+---------------------------------------------+
| Sector | s1 | s2 | s3 |
|------------+----------+----------+----------|
| s1 | 0.6667 | 0.3538 | 0.3179 |
| s2 | 0.4780 | 0.7033 | 0.5549 |
| s3 | 0.3381 | 0.2857 | 0.6571 |
+---------------------------------------------+

*** {(I-A)^-1} Leontief Inverse Matrix ***
+-----------------------------------------------+
| Sector | s1 | s2 | s3 |
|--------------+----------+----------+----------|
| s1 | 1.8821 | 0.9990 | 0.8976 |
| s2 | 1.3495 | 1.9855 | 1.5667 |
| s3 | 0.9545 | 0.8066 | 1.8552 |
+-----------------------------------------------+

*** [MLIOU] Unit Input-Output Multiplier Table ***
+-------------------------------------------------------------------------+
| Sector | s1 s2 s3 Total(R) | IRR |
|------------+----------------------------------------------+-------------|
| s1 | 1.882 0.999 0.898 3.779 | 0.922 |
| s2 | 1.350 1.986 1.567 4.902 | 1.196 |
| s3 | 0.954 0.807 1.855 3.616 | 0.882 |
| Total(C) | 4.186 3.791 4.320 12.297 | . |
|------------+----------------------------------------------+-------------|
| IER | 1.021 0.925 1.054 . | 3.000 |
+-------------------------------------------------------------------------+
* IRR = Index Response Ratio = Index Sensitivity Dispersion
* IER = Index Effect Ratio = Index Power Dispersion
-------------------------------------------------------------------------

*** [MLIOT] Total Input-Output Multiplier Table ***
+-------------------------------------------------------------------------+
| Sector | s1 s2 s3 Total(R) | IRR |
|------------+----------------------------------------------+-------------|
| s1 | 1.882 0.999 0.898 3.779 | 0.922 |
| s2 | 1.350 1.986 1.567 4.902 | 1.196 |
| s3 | 0.954 0.807 1.855 3.616 | 0.882 |
| Total(C) | 4.186 3.791 4.320 12.297 | . |
|------------+----------------------------------------------+-------------|
| IER | 1.021 0.925 1.054 . | 3.000 |
+-------------------------------------------------------------------------+
* IRR = Index Response Ratio = Index Sensitivity Dispersion
* IER = Index Effect Ratio = Index Power Dispersion
-------------------------------------------------------------------------

*** Total Input-Output Multiplier [Final Output (Demand)] ***
+--------------------------------------------------------------------+
| Sector | ML MLT Yi Yim |
|-----------+--------------------------------------------------------|
| s1 | 1.000 3.779 50.000 51.000 |
| s2 | 1.000 4.902 10.000 11.000 |
| s3 | 1.000 3.616 40.000 41.000 |
|-----------+--------------------------------------------------------|
| Total | 3.000 12.297 100.000 103.000 |
+--------------------------------------------------------------------+
* ML = Multiplier Variable
* MLT = Total Multiplier
* Yi = Final Output (Demand)
* Yim = Final Output (Demand) after Multiplier
-------------------------------------------------------------------------

*** Total Input-Output Multiplier [Total Output (Demand)] ***
+--------------------------------------------------------------------+
| Sector | ML MLT Xi Xim |
|-----------+--------------------------------------------------------|
| s1 | 1.000 3.779 140.000 143.779 |
| s2 | 1.000 4.902 150.000 154.902 |
| s3 | 1.000 3.616 130.000 133.616 |
|-----------+--------------------------------------------------------|
| Total | 3.000 12.297 420.000 432.297 |
+--------------------------------------------------------------------+
* ML = Multiplier Variable
* MLT = Total Multiplier
* Xi = Total Output (Demand) (Xi) (Xi = Xj)
* Xim = Total Output (Demand) after Multiplier
----------------------------------------------------------------------

-----------------------------------------------------
*** Leontief Input-Output Table Results ***
-----------------------------------------------------

*** Input-Output Sectors ***

+-----------------------------------------------------------------------+
| Sector | s1 | s2 | s3 |
|-----------------+-----------------+-----------------+-----------------|
| s1 | 20.000 | 60.000 | 10.000 |
| s2 | 50.000 | 10.000 | 80.000 |
| s3 | 40.000 | 30.000 | 20.000 |
+-----------------------------------------------------------------------+
* (Oi) Intermediate Output (Rows)
* (Ij) Intermediate Input (columns)
-------------------------------------------------------------------------

*** Output Sectors ***
+-----------------------------------------------------------------------+
| Sector | Oi | Yi | Xi |
|-----------------+-----------------+-----------------+-----------------|
| s1 | 90.000 | 50.000 | 140.000 |
| s2 | 140.000 | 10.000 | 150.000 |
| s3 | 90.000 | 40.000 | 130.000 |
+-----------------------------------------------------------------------+
* (Oi) Intermediate Output
* (Yi) Final Output
* (Xi) Total Output
-------------------------------------------------------------------------

*** Input Sectors ***
+-----------------------------------------------------------------------+
| Sector | Ij | Vj | Xj |
|-----------------+-----------------+-----------------+-----------------|
| s1 | 110.000 | 30.000 | 140.000 |
| s2 | 100.000 | 50.000 | 150.000 |
| s3 | 110.000 | 20.000 | 130.000 |
+-----------------------------------------------------------------------+
* (Ij) Intermediate Input
* (Vj) Value Added
* (Xj) Total Input
-------------------------------------------------------------------------

*** Predicted (h) Leontief Input-Output Table ***
+-----------------------------------------------------------------------+
| Sector | s1 s2 s3 Oih Yih | (R) Xih |
|---------+--------------------------------------------------+----------|
| s1 | 28.8 89.0 13.8 131.6 70.0 | 201.6 |
| s2 | 72.0 14.8 110.6 197.4 25.0 | 222.4 |
| s3 | 57.6 44.5 27.7 129.7 50.0 | 179.7 |
| Ijh | 158.4 148.3 152.1 458.8 . | . |
| Vjh | 43.2 74.1 27.7 . 145.0 | . |
|---------+--------------------------------------------------+----------|
| (C) Xjh | 201.6 222.4 179.7 . . | 603.8 |
+-----------------------------------------------------------------------+
* (Oih) Intermediate Output = (Ijh) Intermediate Input = 458.785
* (Yih) Final Output = (Vjh) Value Added = 145.000
* (Xih) Total Output = (Xjh) Total Input = 603.785
----------------------------------------------------------------------
*** Sectors Name: s1 s2 s3
*** Predicted Final Demand: yh
*** Sectors Matrix: (3 x 3)
-------------------------------------------------------------------------

*** Predicted Input-Output Sectors ***
+-----------------------------------------------------------------------+
| Sector | s1 | s2 | s3 |
|-----------------+-----------------+-----------------+-----------------|
| s1 | 28.800 | 88.976 | 13.826 |
| s2 | 72.001 | 14.829 | 110.610 |
| s3 | 57.601 | 44.488 | 27.653 |
+-----------------------------------------------------------------------+
* (Oih) Predicted Intermediate Output (Rows)
* (Ijh) Predicted Intermediate Input (columns)
-------------------------------------------------------------------------

*** Predicted Output Sectors ***
+-----------------------------------------------------------------------+
| Sector | Oih | Yih | Xih |
|-----------------+-----------------+-----------------+-----------------|
| s1 | 131.603 | 70.000 | 201.603 |
| s2 | 197.441 | 25.000 | 222.441 |
| s3 | 129.741 | 50.000 | 179.741 |
+-----------------------------------------------------------------------+
* (Oih) Predicted Intermediate Output
* (Yih) Predicted Final Output
* (Xih) Predicted Total Output
-------------------------------------------------------------------------

*** Predicted Input Sectors ***
+-----------------------------------------------------------------------+
| Sector | Ijh | Vjh | Xjh |
|-----------------+-----------------+-----------------+-----------------|
| s1 | 158.402 | 43.201 | 201.603 |
| s2 | 148.294 | 74.147 | 222.441 |
| s3 | 152.089 | 27.653 | 179.741 |
+-----------------------------------------------------------------------+
* (Ijh) Predicted Intermediate Input
* (Vjh) Predicted Value Added
* (Xjh) Predicted Total Input
-------------------------------------------------------------------------

variable | sum
-------------+----------
_s1 | 110.000
_s2 | 100.000
_s3 | 110.000
_Oi | 320.000
_Ij | 320.000
_Yi | 100.000
_Vj | 100.000
_Xi | 420.000
_Xj | 420.000
_s1_h | 158.402
_s2_h | 148.294
_s3_h | 152.089
_Oih | 458.785
_Ijh | 458.785
_Yih | 145.000
_Vjh | 145.000
_Xih | 603.785
_Xjh | 603.785
_ML | 12.297
_Yim | 103.000
_Xim | 432.297
------------------------

*** Save Input-Output Table (IOT) ***
*** (IOT) Results File Has Been saved in:

Data Directory: D:\Stata\SSC
Open File: D:\iot.csv

Authors

- Emad Abd Elmessih Shehata
Professor (PhD Economics)
Agricultural Research Center - Agricultural Economics Research Institute - Egypt
Email: emadstat@hotmail.com
WebPage at IDEAS: http://ideas.repec.org/f/psh494.html
WebPage at EconPapers: http://econpapers.repec.org/RAS/psh494.htm

- Sahra Khaleel A. Mickaiel
Professor (PhD Economics)
Cairo University - Faculty of Agriculture - Department of Economics - Egypt
Email: sahra_atta@hotmail.com
WebPage at IDEAS: http://ideas.repec.org/f/pmi764.html
WebPage at EconPapers: http://econpapers.repec.org/RAS/pmi764.htm

IOT Citation

Shehata, Emad Abd Elmessih & Sahra Khaleel A. Mickaiel (2015)

IOT: "Stata Module to Estimate Leontief Input-Output Table (IOT)"

http://ideas.repec.org/c/boc/bocode/s458024.html

http://econpapers.repec.org/software/bocbocode/s458024.htm

Online Help:

*** Distributed Lag Models
almon1 Shirley Almon Polynomial Distributed Lag Model (ALMON1)
almon Shirley Almon Generalized Polynomial Distributed Lag Model (ALMON)
dlagaj Alt France-Jan Tinbergen Distributed Lag Model (DLAGAJ)
dlagdj Dale Jorgenson Rational Distributed Lag Model (DLAGDJ)
dlagfd Frank De Leeuw Inverted V Distributed Lag Model (DLAGFD)
dlagif Irving Fisher Arithmetic Distributed Lag Model (DLAGIF)
dlagmf Milton Fridman Partial Adjustment-Adaptive Expectations
Distributed Lag Model (DLAGMF)
dlagmn Marc Nerlove Partial Adjustment Distributed Lag Model (DLAGMN)
dlagrs Robert Solow Pascal Triangle Distributed Lag Model (DLAGRS)
dlagrw Rudolf Wolffram Segmenting Partial Adjustment Distributed Lag (DLAGRW)
dlagtq Tweeten-Quance Partial Adjustment Distributed Lag Model (DLAGTQ)

*** Demand System Models
dsles Linear Expenditure System (LES) (DSLES)
dseles Extended Linear Expenditure System (ELES) (DSELES)
dsqes Quadratic Expenditure System (QES) (DSQES)
dsrot Rotterdam Demand System (DSROT)
dsroti Inverse Rotterdam Demand System (DSROTI)
dsaidsla Linear Approximation Almost Ideal Demand System (AIDS-LA) (DSAIDSLA)
dsaidsfd First Difference Almost Ideal Demand System (AIDS-FD) (DSAIDSFD)
dsaidsi Inverse Almost Ideal Demand System(AIDS-I) (DSAIDSI)
dsarm Primal Armington Demand System (DSARM)
dsengel Engel Demand System (DSENGEL)
dsgads Generalized AddiLog Demand System (GADS) (DSGADS)
dstlog Transcendental Logarithmic Demand System (DSTLOG)
dsw Working Demand System (DSW)

pfm Production Function Models (PFM)

ffm Profit Function Models (FFM)

cfm Cost Function Models (CFM)
costreg Quadratic and Cubic Cost Functions (COSTREG)

iic Investment Indicators Criteria (IIC)

iot Leontief Input - Output Table (IOT)

index Index Numbers (INDEX)

mef Marketing Efficiency Models (MEF)

pam Policy Analysis Matrix (PAM)
pem Partial Equilibrium Model (PEM)

*** Financial Analysis Models
fam Financial Analysis Models (FAM)
xbcr Benefit-Cost Ratio (XBCR)
xirr Internal Rate of Return (XIRR)
xmirr Modified Internal Rate of Return (XMIRR)
xnfv Net Future Value (XNFV)
xnpv Net Present Value (XNPV)
xpp Payback Period (XPP)

*** Trade Models
wtm World Trade Models (WTM)
wtic World Trade Indicators Criteria (WTIC)
wtrgc World Trade Regional Geographical Concentration (WTRGC)
wtsgc World Trade Sectoral Geographical Concentration (WTSGC)
wtrca World Trade Revealed Comparative Advantage (WTRCA)