Skip to main content

Table 2 Multiple and individual VR tests for return series

From: S&P BSE Sensex and S&P BSE IT return forecasting using ARIMA

Form of VR Test

Index

Joint or Multiple VR test

VR Individual tests (holding periods in months)

2

4

8

16

S1

S&P BSE Sensex

23.4127a

−23.4127a

{0.55133}

−20.04238a

{0.28145}

−15.40392a

{0.1268}

−11.06920a

{0.06629}

[0.000]

(553.1)

[0.000]

[0.000]

[0.000]

[0.000]

S&P BSE IT

23.6171a

−23.61714a

{0.54741}

−20.58047a

{0.26215}

−15.46046a

{0.1236}

−11.10457a

{0.0633}

[0.000]

(565.69)

[0.000]

[0.000]

[0.000]

[0.000]

S2

S&P BSE Sensex

10.972a

−10.97203a

{0.55173}

−10.08047a

{0.28207}

−8.312745a

{0.12746}

−6.25343a

{0.06702}

[0.000]

[0.000]

[0.000]

[0.000]

[0.000]

S&P BSE IT

12.08156a

−12.08156a

{0.54781}

−11.38681a

{0.26273}

−9.299124a

{0.12424}

−7.149689a

{0.06401}

[0.000]

[0.000]

[0.000]

[0.000]

[0.000]

S3

S&P BSE Sensex

21.9464a

−21.94642a

{0.57943}

−18.67128a

{0.3306}

−14.07391a

{0.2022}

−10.20897a

{0.13885}

[0.000]

(484.9)

[0.000]

[0.000]

[0.000]

[0.000]

S&P BSE IT

22.2004a

−22.20039a

{0.57456}

−18.99003a

{0.31917}

−14.14508a

{0.19816}

−10.09348a

{0.14859}

[0.000]

(497.16)

[0.000]

[0.000]

[0.000]

[0.000]

S4

S&P BSE Sensex

23.1982a

−23.19816a

{0.55544}

−19.68314a

{0.29433}

−14.98143a

{0.15075}

−10.75246a

{0.09301}

[0.000]

(541.65)

[0.000]

[0.000]

[0.000]

[0.000]

S&P BSE IT

23.3137a

−23.31373a

{0.55323}

−20.055a

{0.28099}

−15.03291a

{0.14784}

−10.77041a

{0.09149}

[0.000]

(548.97)

[0.000]

[0.000]

[0.000]

[0.000]

S5

S&P BSE Sensex

14.7368a

−14.73678a

{0.71759}

−12.86565a

{0.53874}

−9.442364a

{0.46475}

−7.114982a

{0.39984}

[0.000]

(221.8)

[0.000]

[0.000]

[0.000]

[0.000]

S&P BSE IT

14.6601a

−14.66012a

{0.71906}

−12.55835a

{0.54976}

−9.28688a

{0.47356}

−6.509822a

{0.45088}

[0.000]

(217.08)

[0.000]

[0.000]

[0.000]

[0.000]

S6

S&P BSE Sensex

23.4127a

−23.41272a

{0.55133}

−20.04238a

{0.28145}

−15.40392a

{0.12681}

−11.06920a

{0.06629}

[0.000]

(553.1)

[0.000]

[0.000]

[0.000]

[0.000]

S&P BSE IT

23.6171a

−23.61714a

{0.54741}

−20.58047a

{0.26215}

−15.46046a

{0.1236}

−11.10457a

{0.0633}

[0.000]

(565.69)

[0.000]

[0.000]

[0.000]

[0.000]

S7

S&P BSE Sensex

10.972a

−10.97203a

{0.55173}

−10.08047a

{0.28207}

−8.312745a

{0.12746}

−6.253435a

{0.06702}

[0.000]

[0.000]

[0.000]

[0.000]

[0.000]

S&P BSE IT

12.0816a

−12.08156a

{0.54781}

−11.38681a

{0.26273}

−9.299124a

{0.12424}

−7.149689a

{0.06401}

[0.000]

[0.000]

[0.000]

[0.000]

[0.000]

  1. Source: Compiled by authors
  2. Notes: a indicates the values are significant at 1% level;