This document discusses various time series econometric models and methods for analyzing the relationship between variables, including:
1) Vector AutoRegressive (VAR) and Vector Error Correction (VECM) models treat all variables symmetrically without distinguishing between independent and dependent variables.
2) Unit root tests, cointegration tests, and checking for stationarity are important prerequisites for time series econometric models.
3) The steps of Vector Error Correction modeling include testing for stationarity, cointegration, selecting the optimal lag length, and estimating the VECM.
Pengertian Elastisitas, Perilaku konsumen dan produksi
Elastisitas permintaan dan penawaran
Teori Kardinal dan Ordinal
Dimensi Jangka pendek dan jangka panjang
Model Produksi dengan satu faktor produksi variabel
Model Produksi Dua faktor produksi variabel
Pengertian Elastisitas, Perilaku konsumen dan produksi
Elastisitas permintaan dan penawaran
Teori Kardinal dan Ordinal
Dimensi Jangka pendek dan jangka panjang
Model Produksi dengan satu faktor produksi variabel
Model Produksi Dua faktor produksi variabel
InstructionsView CAAE Stormwater video Too Big for Our Ditches.docxdirkrplav
Instructions:
View CAAE Stormwater video "Too Big for Our Ditches"
http://www.ncsu.edu/wq/videos/stormwater%20video/SWvideo.html
Explain how impermeable surfaces in the urban environment impact the stream network in a river basin. Why is watershed management an important consideration in urban planning? Unload you essay (200-400 words).
Neal.LarryBUS457A7.docx
Question 1
Problem:
It is not certain about the relationship between age, Y, as a function of systolic blood pressure.
Goal:
To establish the relationship between age Y, as a function of systolic blood pressure.
Finding/Conclusion:
Based on the available data, the relationship is obtained and shown below:
Regression Analysis: Age versus SBP
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
Regression 1 2933 2933.1 21.33 0.000
SBP 1 2933 2933.1 21.33 0.000
Error 28 3850 137.5
Lack-of-Fit 21 2849 135.7 0.95 0.575
Pure Error 7 1002 143.1
Total 29 6783
Model Summary
S R-sq R-sq(adj) R-sq(pred)
11.7265 43.24% 41.21% 3.85%
Coefficients
Term Coef SE Coef T-Value P-Value VIF
Constant -18.3 13.9 -1.32 0.198
SBP 0.4454 0.0964 4.62 0.000 1.00
Regression Equation
Age = -18.3 + 0.4454 SBP
It is found that there is an outlier in the dataset, which significantly affect the regression equation. As a result, the outlier is removed, and the regression analysis is run again.
Regression Analysis: Age versus SBP
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
Regression 1 4828.5 4828.47 66.81 0.000
SBP 1 4828.5 4828.47 66.81 0.000
Error 27 1951.4 72.27
Lack-of-Fit 20 949.9 47.49 0.33 0.975
Pure Error 7 1001.5 143.07
Total 28 6779.9
Model Summary
S R-sq R-sq(adj) R-sq(pred)
8.50139 71.22% 70.15% 66.89%
Coefficients
Term Coef SE Coef T-Value P-Value VIF
Constant -59.9 12.9 -4.63 0.000
SBP 0.7502 0.0918 8.17 0.000 1.00
Regression Equation
Age = -59.9 + 0.7502 SBP
The p-value for the model is 0.000, which implies that the model is significant in the prediction of Age. The R-square of the model is 70.2%, implies that 70.2% of variation in age can be explained by the model
Recommendation:
The regression model Age = -59.9 +0.7502 SBP can be used to predict the Age, such that over 70% of variation in Age can be explained by the model.
Question 2
Problem:
It is not sure that whether the factors X1 to X4 which represents four different success factors have any influences on the annual savings as a result of CRM implementation.
Goal:
To determine which of the success factors are most significant in the prediction of a successful CRM program, and develop the corresponding model for the prediction of CRM savings.
Finding/Conclusion:
Based on the available da.
Advanced Stability Analysis of Control Systems with Variable Parametersjournal ijrtem
The purpose of the current research is to advance further the D-Partitioning method and
emphasize on its practical application. It has the objective to clarify it in a user friendly manner in order to
simplify its implementation. By applying the basic initial ideas of the method, the main line of the research is the
development of a generalized stability analysis tool and demonstrating its application. With the aid of this tool,
proper parameter values can be chosen for a desirable performance and stability of a system. The analysis tool
can be practically used when one, two or more system’s parameters are varied independently or simultaneously.
Basically this tool defines regions of stability in the space of the system’s parameters.
Advanced Stability Analysis of Control Systems with Variable ParametersIJRTEMJOURNAL
The purpose of the current research is to advance further the D-Partitioning method and
emphasize on its practical application. It has the objective to clarify it in a user friendly manner in order to
simplify its implementation. By applying the basic initial ideas of the method, the main line of the research is the
development of a generalized stability analysis tool and demonstrating its application. With the aid of this tool,
proper parameter values can be chosen for a desirable performance and stability of a system. The analysis tool
can be practically used when one, two or more system’s parameters are varied independently or simultaneously.
Basically this tool defines regions of stability in the space of the system’s parameters.
BPSO&1-NN algorithm-based variable selection for power system stability ident...IJAEMSJORNAL
Due to the very high nonlinearity of the power system, traditional analytical methods take a lot of time to solve, causing delay in decision-making. Therefore, quickly detecting power system instability helps the control system to make timely decisions become the key factor to ensure stable operation of the power system. Power system stability identification encounters large data set size problem. The need is to select representative variables as input variables for the identifier. This paper proposes to apply wrapper method to select variables. In which, Binary Particle Swarm Optimization (BPSO) algorithm combines with K-NN (K=1) identifier to search for good set of variables. It is named BPSO&1-NN. Test results on IEEE 39-bus diagram show that the proposed method achieves the goal of reducing variables with high accuracy.
Designed to construct a statistical model describing the impact of a two or more quantitative factors on a dependent variable. The fitted model may be used to make predictions, including confidence limits and/or prediction limits. Residuals may also be plotted and influential observations identified.
ViewShift: Hassle-free Dynamic Policy Enforcement for Every Data LakeWalaa Eldin Moustafa
Dynamic policy enforcement is becoming an increasingly important topic in today’s world where data privacy and compliance is a top priority for companies, individuals, and regulators alike. In these slides, we discuss how LinkedIn implements a powerful dynamic policy enforcement engine, called ViewShift, and integrates it within its data lake. We show the query engine architecture and how catalog implementations can automatically route table resolutions to compliance-enforcing SQL views. Such views have a set of very interesting properties: (1) They are auto-generated from declarative data annotations. (2) They respect user-level consent and preferences (3) They are context-aware, encoding a different set of transformations for different use cases (4) They are portable; while the SQL logic is only implemented in one SQL dialect, it is accessible in all engines.
#SQL #Views #Privacy #Compliance #DataLake
Adjusting OpenMP PageRank : SHORT REPORT / NOTESSubhajit Sahu
For massive graphs that fit in RAM, but not in GPU memory, it is possible to take
advantage of a shared memory system with multiple CPUs, each with multiple cores, to
accelerate pagerank computation. If the NUMA architecture of the system is properly taken
into account with good vertex partitioning, the speedup can be significant. To take steps in
this direction, experiments are conducted to implement pagerank in OpenMP using two
different approaches, uniform and hybrid. The uniform approach runs all primitives required
for pagerank in OpenMP mode (with multiple threads). On the other hand, the hybrid
approach runs certain primitives in sequential mode (i.e., sumAt, multiply).
STATATHON: Unleashing the Power of Statistics in a 48-Hour Knowledge Extravag...sameer shah
"Join us for STATATHON, a dynamic 2-day event dedicated to exploring statistical knowledge and its real-world applications. From theory to practice, participants engage in intensive learning sessions, workshops, and challenges, fostering a deeper understanding of statistical methodologies and their significance in various fields."
The Building Blocks of QuestDB, a Time Series Databasejavier ramirez
Talk Delivered at Valencia Codes Meetup 2024-06.
Traditionally, databases have treated timestamps just as another data type. However, when performing real-time analytics, timestamps should be first class citizens and we need rich time semantics to get the most out of our data. We also need to deal with ever growing datasets while keeping performant, which is as fun as it sounds.
It is no wonder time-series databases are now more popular than ever before. Join me in this session to learn about the internal architecture and building blocks of QuestDB, an open source time-series database designed for speed. We will also review a history of some of the changes we have gone over the past two years to deal with late and unordered data, non-blocking writes, read-replicas, or faster batch ingestion.
Levelwise PageRank with Loop-Based Dead End Handling Strategy : SHORT REPORT ...Subhajit Sahu
Abstract — Levelwise PageRank is an alternative method of PageRank computation which decomposes the input graph into a directed acyclic block-graph of strongly connected components, and processes them in topological order, one level at a time. This enables calculation for ranks in a distributed fashion without per-iteration communication, unlike the standard method where all vertices are processed in each iteration. It however comes with a precondition of the absence of dead ends in the input graph. Here, the native non-distributed performance of Levelwise PageRank was compared against Monolithic PageRank on a CPU as well as a GPU. To ensure a fair comparison, Monolithic PageRank was also performed on a graph where vertices were split by components. Results indicate that Levelwise PageRank is about as fast as Monolithic PageRank on the CPU, but quite a bit slower on the GPU. Slowdown on the GPU is likely caused by a large submission of small workloads, and expected to be non-issue when the computation is performed on massive graphs.
06-04-2024 - NYC Tech Week - Discussion on Vector Databases, Unstructured Data and AI
Discussion on Vector Databases, Unstructured Data and AI
https://www.meetup.com/unstructured-data-meetup-new-york/
This meetup is for people working in unstructured data. Speakers will come present about related topics such as vector databases, LLMs, and managing data at scale. The intended audience of this group includes roles like machine learning engineers, data scientists, data engineers, software engineers, and PMs.This meetup was formerly Milvus Meetup, and is sponsored by Zilliz maintainers of Milvus.
Learn SQL from basic queries to Advance queriesmanishkhaire30
Dive into the world of data analysis with our comprehensive guide on mastering SQL! This presentation offers a practical approach to learning SQL, focusing on real-world applications and hands-on practice. Whether you're a beginner or looking to sharpen your skills, this guide provides the tools you need to extract, analyze, and interpret data effectively.
Key Highlights:
Foundations of SQL: Understand the basics of SQL, including data retrieval, filtering, and aggregation.
Advanced Queries: Learn to craft complex queries to uncover deep insights from your data.
Data Trends and Patterns: Discover how to identify and interpret trends and patterns in your datasets.
Practical Examples: Follow step-by-step examples to apply SQL techniques in real-world scenarios.
Actionable Insights: Gain the skills to derive actionable insights that drive informed decision-making.
Join us on this journey to enhance your data analysis capabilities and unlock the full potential of SQL. Perfect for data enthusiasts, analysts, and anyone eager to harness the power of data!
#DataAnalysis #SQL #LearningSQL #DataInsights #DataScience #Analytics
Unleashing the Power of Data_ Choosing a Trusted Analytics Platform.pdfEnterprise Wired
In this guide, we'll explore the key considerations and features to look for when choosing a Trusted analytics platform that meets your organization's needs and delivers actionable intelligence you can trust.
2. Model VAR/VECM
Model VAR/VECM
memperlakukan seluruh
variabel secara simetris
tanpa mempersalahkan
variabel independen dan
dependen (Gujarati:
2003); atau dengan kata
lain model ini
memperlakukan seluruh
variabel sebagai variabel
endogen.
3. Uji Akar Unit
• Stasioneritas merupakan salah
satu prasyarat penting dalam
model ekonometrika untuk data
runtut waktu (time series).
• Data stasioner adalah data yang
menunjukkan mean, varians dan
autovarians (pada variasi lag)
tetap sama pada waktu kapan
saja data itu dibentuk atau
dipakai, artinya dengan data
yang stasioner model time series
dapat dikatakan lebih stabil.
• Apabila data yang digunakan
dalam model ada yang tidak
stasioner, maka data tersebut
dipertimbangkan kembali
validitas dan kestabilannya.
4. Uji Kointegrasi
• Uji kointegrasi perlu
dilakukan untuk mengetahui
apakah data mempunyai
hubungan jangka panjang
(terkointegrasi).
• Hubungan saling
mempengaruhi juga dapat
dilihat dari kointegritas yang
terjadi antar variabel itu
sendiri dan menentukan
model yang akan diestimasi,
apakah menggunakan VAR
biasa atau VAR – Vector
Error Correction Model
(VAR-VECM).
5. VAR
• Penelitian dilakukan dengan metode
deskriptif kuantitatif menggunakan Regresi
Vector Autoregression (VAR) untuk
mengetahui keterkaitan antar variabel dan
kontribusi masing-masing variabel terhadap
perubahan variabel lainnya.
• Walaupun ada metode lain yang lebih
sederhana untuk mengetahui keterkaitan
antar variabel, misalnya dengan Ordinary
Least Squares (OLS) namun tidak seperti
dengan VAR.
• VAR selain dapat digunakan untuk analisis
keterkaitan antar variabel, VAR juga dapat
melihat pergerakan respon dan variabilitas
seluruh variabel selama periode penelitian,
yaitu melalui hasil impulse response dan
variance decomposition baik dengan grafik
maupun tabel.
6. VECM
• Vector Error Correction Model
(VECM) adalah VAR terestriksi yang
digunakan untuk variabel yang non-
stasioner tetapi memiliki potensi
untuk terkointegrasi.
• Setelah dilakukan pengujian
kointegrasi pada model yang
digunakan maka dianjurkan untuk
memasukkan persamaan kointegrasi
ke dalam model yang digunakan.
• Pada data time series kebanyakan
memiliki tingkat stasioneritas pada
first difference atau I(1).
• VECM sering disebut sebagai desain
VAR bagi series non-stasioner yang
memiliki hubungan kointegrasi.
Dengan demikian, dalam VECM
terdapat speed of adjustment dari
jangka pendek ke jangka panjang
7. Analisis Impulse
Response
• Analisis Impulse Response dilakukan
untuk melihat respon suatu variabel
ketika terjadi kejutan/ goncangan pada
variabel lainnya.
• Secara individual koefisien di dalam
model VAR/VECM sulit diinterpretasikan
maka para ahli ekonometrika
menggunakan analisis Impulse
Response.
• Analisis Impulse Response ini melacak
respon dari variabel endogen di dalam
sistem VAR karena goncangan (shock)
atau perubahan di dalam variabel
gangguan (e).
• Impulse Response merupakan hasil
estimasi VAR/VECM yang dapat
digambarkan dengan grafik (graph) atau
tabel, dengan melihat graph atau tabel
impulse response kita dapat melihat
seberapa besar respon variabel terhadap
kejutan/ goncangan sebesar satu standar
deviasi (S.D) dari variabel - variabel di
8. Analisis variance
decomposition
• Analisis variance decomposition
dilakukan untuk mengetahui
variabel - variabel mana yang
mempunyai peran yang relatif
penting dalam perubahan
variabel itu sendiri maupun
variabel lainnya.
• Sedangkan analisis variance
decomposition ini
menggambarkan relatif
pentingnya setiap variabel di
dalam kontribusi persentase
varian setiap variabel karena
adanya perubahan variabel
tertentu di dalam sistem
VAR/VECM.
10. Uji Stasioneritas Data GDP
Menggunakan Derajad Fist
Different
Null Hypothesis: D(GDP) has a unit root
Exogenous: Constant, Linear Trend
Lag Length: 0 (Automatic - based on SIC, maxlag=5)
t-Statistic Prob.*
Augmented Dickey-Fuller test statistic -5.800745 0.0005
Test critical values: 1% level -4.416345
5% level -3.622033
10% level -3.248592
*MacKinnon (1996) one-sided p-values.
Augmented Dickey-Fuller Test Equation
Dependent Variable: D(GDP,2)
Method: Least Squares
Date: 12/26/16 Time: 16:26
Sample (adjusted): 1988 2010
Included observations: 23 after adjustments
Variable Coefficient Std. Error t-Statistic Prob.
D(GDP(-1)) -1.256134 0.216547 -5.800745 0.0000
C -0.128365 2.342936 -0.054788 0.9569
@TREND("1986") 0.011725 0.160532 0.073036 0.9425
R-squared 0.627234 Mean dependent var 0.097000
Adjusted R-squared 0.589957 S.D. dependent var 7.975109
S.E. of regression 5.106830 Akaike info criterion 6.220142
Sum squared resid 521.5943 Schwarzcriterion 6.368250
Log likelihood -68.53164 Hannan-Quinn criter. 6.257391
F-statistic 16.82645 Durbin-Watson stat 2.148797
Prob(F-statistic) 0.000052
11. Uji Stasioneritas Data Inflasi
Menggunakan Derajad Fist
Different
Null Hypothesis: D(INF) has a unit root
Exogenous: Constant, Linear Trend
Lag Length: 1 (Automatic - based on SIC, maxlag=5)
t-Statistic Prob.*
Augmented Dickey-Fuller test statistic -5.634037 0.0008
Test critical values: 1% level -4.440739
5% level -3.632896
10% level -3.254671
*MacKinnon (1996) one-sided p-values.
Augmented Dickey-Fuller Test Equation
Dependent Variable: D(INF,2)
Method: Least Squares
Date: 12/26/16 Time: 16:29
Sample (adjusted): 1989 2010
Included observations: 22 after adjustments
Variable Coefficient Std. Error t-Statistic Prob.
D(INF(-1)) -1.953261 0.346689 -5.634037 0.0000
D(INF(-1),2) 0.446797 0.211076 2.116758 0.0485
C 2.560159 6.762509 0.378581 0.7094
@TREND("1986") -0.201108 0.453594 -0.443366 0.6628
R-squared 0.739927 Mean dependent var 0.070525
Adjusted R-squared 0.696582 S.D. dependent var 24.44025
S.E. of regression 13.46253 Akaike info criterion 8.200663
Sum squared resid 3262.315 Schwarz criterion 8.399035
Log likelihood -86.20730 Hannan-Quinn criter. 8.247394
F-statistic 17.07045 Durbin-Watson stat 2.208962
Prob(F-statistic) 0.000017
12. Uji Stasioneritas Data
Pemberian Kredit
Menggunakan Derajad Fist
Different
Null Hypothesis: D(PK) has a unit root
Exogenous: Constant, Linear Trend
Lag Length: 0 (Automatic - based on SIC, maxlag=5)
t-Statistic Prob.*
Augmented Dickey-Fuller test statistic -3.894911 0.0292
Test critical values: 1% level -4.416345
5% level -3.622033
10% level -3.248592
*MacKinnon (1996) one-sided p-values.
Augmented Dickey-Fuller Test Equation
Dependent Variable: D(PK,2)
Method: Least Squares
Date: 12/26/16 Time: 16:32
Sample (adjusted): 1988 2010
Included observations: 23 after adjustments
Variable Coefficient Std. Error t-Statistic Prob.
D(PK(-1)) -0.885081 0.227240 -3.894911 0.0009
C 4.832443 1.951936 2.475718 0.0224
@TREND("1986") -0.337412 0.133173 -2.533636 0.0198
R-squared 0.431936 Mean dependent var -0.168830
Adjusted R-squared 0.375130 S.D. dependent var 3.897393
S.E. of regression 3.080839 Akaike info criterion 5.209389
Sum squared resid 189.8314 Schwarzcriterion 5.357497
Log likelihood -56.90797 Hannan-Quinn criter. 5.246637
F-statistic 7.603663 Durbin-Watson stat 1.938351
Prob(F-statistic) 0.003499
13. Uji Stasioneritas Data Suku
Bunga Deposito
Menggunakan Derajad Fist
Different
Null Hypothesis: D(SBD) has a unit root
Exogenous: Constant, Linear Trend
Lag Length: 1 (Automatic - based on SIC, maxlag=5)
t-Statistic Prob.*
Augmented Dickey-Fuller test statistic -5.103868 0.0025
Test critical values: 1% level -4.440739
5% level -3.632896
10% level -3.254671
*MacKinnon (1996) one-sided p-values.
Augmented Dickey-Fuller Test Equation
Dependent Variable: D(SBD,2)
Method: Least Squares
Date: 12/26/16 Time: 16:37
Sample (adjusted): 1989 2010
Included observations: 22 after adjustments
Variable Coefficient Std. Error t-Statistic Prob.
D(SBD(-1)) -1.574804 0.308551 -5.103868 0.0001
D(SBD(-1),2) 0.457196 0.210278 2.174248 0.0433
C 1.203804 3.141517 0.383192 0.7061
@TREND("1986") -0.138791 0.211667 -0.655703 0.5203
R-squared 0.636147 Mean dependent var -0.145227
Adjusted R-squared 0.575505 S.D. dependent var 9.578100
S.E. of regression 6.240446 Akaike info criterion 6.662946
Sum squared resid 700.9770 Schwarzcriterion 6.861317
Log likelihood -69.29241 Hannan-Quinn criter. 6.709676
F-statistic 10.49019 Durbin-Watson stat 1.958128
Prob(F-statistic) 0.000323
14. Uji Stasioneritas Data Suku Bunga
Pinjaman
Menggunakan Derajad Fist
Different
Null Hypothesis: D(SBP) has a unit root
Exogenous: Constant, Linear Trend
Lag Length: 1 (Automatic - based on SIC, maxlag=5)
t-Statistic Prob.*
Augmented Dickey-Fuller test statistic -4.962859 0.0034
Test critical values: 1% level -4.440739
5% level -3.632896
10% level -3.254671
*MacKinnon (1996) one-sided p-values.
Augmented Dickey-Fuller Test Equation
Dependent Variable: D(SBP,2)
Method: Least Squares
Date: 12/26/16 Time: 16:39
Sample (adjusted): 1989 2010
Included observations: 22 after adjustments
Variable Coefficient Std. Error t-Statistic Prob.
D(SBP(-1)) -1.394343 0.280956 -4.962859 0.0001
D(SBP(-1),2) 0.494682 0.206535 2.395153 0.0277
C 0.400430 1.729565 0.231521 0.8195
@TREND("1986") -0.070171 0.116703 -0.601276 0.5552
R-squared 0.595673 Mean dependent var -0.076250
Adjusted R-squared 0.528285 S.D. dependent var 5.013330
S.E. of regression 3.443230 Akaike info criterion 5.473663
Sum squared resid 213.4050 Schwarz criterion 5.672034
Log likelihood -56.21029 Hannan-Quinn criter. 5.520393
F-statistic 8.839476 Durbin-Watson stat 1.958988
Prob(F-statistic) 0.000811
15. Penentuan Lag Lenght
VAR Lag Order Selection Criteria
Endogenous variables: GDP INF PK SBD SBP
Exogenous variables: C
Date: 12/26/16 Time: 18:09
Sample: 1986 2010
Included observations: 24
Lag LogL LR FPE AIC SC HQ
0 -324.9631 NA 601861.9 27.49693 27.74236 27.56204
1 -249.3639 113.3988* 9368.133* 23.28033* 24.75289* 23.67100*
* indicates lag order selected by the criterion
LR: sequential modified LR test statistic (each test at 5% level)
FPE: Final prediction error
AIC: Akaike information criterion
SC: Schwarz information criterion
HQ: Hannan-Quinn information criterion
16. Uji Kausalitas
Granger
Pairwise Granger Causality Tests
Date: 12/26/16 Time: 18:11
Sample: 1986 2010
Lags: 1
Null Hypothesis: Obs F-Statistic Prob.
INF does not Granger Cause GDP 24 4.10796 0.0556
GDP does not Granger Cause INF 1.98216 0.1738
PK does not Granger Cause GDP 24 2.55440 0.1249
GDP does not Granger Cause PK 0.01453 0.9052
SBD does not Granger Cause GDP 24 0.00150 0.9694
GDP does not Granger Cause SBD 2.68521 0.1162
SBP does not Granger Cause GDP 24 0.03127 0.8613
GDP does not Granger Cause SBP 1.25153 0.2759
PK does not Granger Cause INF 24 2.36590 0.1389
INF does not Granger Cause PK 1.15411 0.2949
SBD does not Granger Cause INF 24 1.36402 0.2559
INF does not Granger Cause SBD 5.05910 0.0354
SBP does not Granger Cause INF 24 0.49128 0.4910
INF does not Granger Cause SBP 1.44262 0.2431
SBD does not Granger Cause PK 24 9.96131 0.0048
PK does not Granger Cause SBD 0.06407 0.8026
SBP does not Granger Cause PK 24 8.46963 0.0084
PK does not Granger Cause SBP 0.01032 0.9201
SBP does not Granger Cause SBD 24 0.12975 0.7223
SBD does not Granger Cause SBP 0.85364 0.3660
17. Uji Kointegrasi
Tes
Date: 12/26/16 Time: 18:15
Sample (adjusted): 1988 2010
Included observations: 23 after adjustments
Trend assumption: Linear deterministic trend
Series: GDP INF PK SBD SBP
Lags interval (in first differences): 1 to 1
Unrestricted Cointegration Rank Test (Trace)
Hypothesized Trace 0.05
No. of CE(s) Eigenvalue Statistic Critical Value Prob.**
None * 0.864315 104.8951 69.81889 0.0000
At most 1 * 0.746364 58.95450 47.85613 0.0032
At most 2 0.470084 27.40179 29.79707 0.0922
At most 3 0.343245 12.79595 15.49471 0.1225
At most 4 0.127071 3.125717 3.841466 0.0771
Trace test indicates 2 cointegrating eqn(s) at the 0.05 level
* denotes rejection of the hypothesis at the 0.05 level
**MacKinnon-Haug-Michelis (1999) p-values
Unrestricted Cointegration Rank Test (Maximum Eigenvalue)
Hypothesized Max-Eigen 0.05
No. of CE(s) Eigenvalue Statistic Critical Value Prob.**
None * 0.864315 45.94065 33.87687 0.0012
At most 1 * 0.746364 31.55270 27.58434 0.0146
At most 2 0.470084 14.60584 21.13162 0.3175
At most 3 0.343245 9.670233 14.26460 0.2345
At most 4 0.127071 3.125717 3.841466 0.0771
Max-eigenvalue test indicates 2 cointegrating eqn(s) at the 0.05 level
* denotes rejection of the hypothesis at the 0.05 level
**MacKinnon-Haug-Michelis (1999) p-values
Unrestricted Cointegrating Coefficients (normalized by b'*S11*b=I):
GDP INF PK SBD SBP
0.101859 0.347800 0.036104 -1.405789 1.650881
0.655306 0.330585 -0.057797 0.529281 -0.681051
-0.259037 -0.164216 -0.143548 0.616334 -0.568446
0.182782 0.003653 0.032160 -0.432349 0.851341
-0.438174 -0.190382 0.032276 0.293175 -0.219863
Unrestricted Adjustment Coefficients (alpha):
D(GDP) 1.727485 1.603654 1.351409 -0.633808 0.520434
D(INF) -2.897671 -6.690577 -3.098971 1.788917 -0.990416
D(PK) -0.412772 0.500306 1.481133 0.753633 -0.497229
D(SBD) -1.235379 -2.402961 -1.605837 -0.170230 -0.704008
D(SBP) -1.062763 -1.199451 -0.929479 -0.302824 -0.317417
1 Cointegrating Equation(s): Log likelihood -215.4924
Normalized cointegrating coefficients (standard error in parentheses)
GDP INF PK SBD SBP
1.000000 3.414535 0.354452 -13.80136 16.20756
(0.30389) (0.16064) (1.64820) (2.00843)
Adjustment coefficients (standard error in parentheses)
D(GDP) 0.175959
18. CARA INTEPRETASI
KOINTEGRASI
1. ketika nilai Trace dan nilai
maximum Eigunvalue > Critical
Value dapat disimpulkan bahwa
semua variabel memiliki
hubungan kointegrasi jangka
panjang
2. Dari hasil analisis di atas dapat
dilihat bahwa nilai Trace dan
nilai maximum Eigunvalue >
Critical Value, sehingga dapat
disimpulkan bahwa semua
variabel memiliki hubungan
kointegrasi jangka panjang