STATISTICS PROJECT Priya Mariam Simon Aparna Rajeev Sudhit Sethi Jinto Antony Kurian

Objective The main objective of our project is to acquire in-depth understanding of collection, organization and interpretation of numerical facts for taking managerial decisions. The data for the project has been collected from the Outlook (India) site. We have referred the link for the top 100 engineering colleges in India. Here the variables used are Nominal variables, Ordinal variables and some other variables. Nominal variables used are Name of the Institution, City and G/P (Government/Private). The ordinal variable used is Rank. We have also used various other variables such as IC (Intellectual Capital), I&F (Infrastructure and Facilities), PS (Pedagogic Systems), II (Industry Interface) and P (Placement).

Database Rank Name of the InstitutioncityG/PICI&FPSIIPTotal 1IIT KanpurKanpurG IIT KharagpurKharagpurG IIT BombayMumbaiG IIT MadrasChennaiG IIT DelhiDelhiG BITS PilaniPilaniP IIT RoorkeeRoorkeeG IT-BHUVaranasiG IIT GuwahatiGuwahatiG

10 College of Engg, Anna UniversityGuindyG Jadavpur University, Faculty of Engg & TechCalcuttaG Indian School of MinesDhanbadG NITWarangalG BIT, MesraRanchiP NITTrichyG Delhi College of EngineeringNew DelhiG Punjab Engineering CollegeChandigarhG NITSuratkalG Motilal Nehru National Inst. of TechnologyAllahabadG

20 Thapar Inst of Engineering & TechnologyPatialap Bengal Eng and Science University, ShibpurHowrahG MANITBhopalG PSG College of TechnologyCoimbatoreG IIITHyderabadG Harcourt Butler Technological InstituteKanpurG Malviya National Institute of TechnologyJaipurG VNITNagpurG NITKozhikodeG Dhirubhai Ambani IICTGandhinagarP

30 Osmania Univ. College of EngineeringHyderabadG College of Engineering, Andhra University Vishakhapa tnamG Netaji Subhas Institute of TechnologyNew DelhiG NITKurukshetraG NITRourkelaG SVNITSuratG Govt. College of EngineeringPuneG Manipal Institute of TechnologyManipalp JNTUHyderabadG R.V. College of EngineeringBangalorep

40NITJamshedpurG University Visvesvaraya College of Engg.BangaloreG VJTIMumbaiG Vellore Institute of TechnologyVelloreP Coimbatore Institute of TechnologyCoimbatoreG SSN College of EngineeringChennaiP IIITAllahabadG College of EngineeringTrivandrumG NIT DurgapurDurgapurG SITCalcuttaG

50 Mumbai University Inst of Chemical TechMumbaiG Sardar Patel College of EngineeringMumbaip P.E.S. Institute of TechnologyBangalorep Maharashtra Institute of TechnologyPunep Amrita Institute of Technology & ScienceCoimbatorep National Institute of EngineeringMysorep B.M.S. College of EngineeringBangalorep Laxminarayan Institute Of Tech.NagpurG Nirma Institute of TechnologyAhmedabadp IIITPuneG

60 Amity School of EngineeringNoidap JNTUKakinadaG S.J. College of EngineeringMysoreP Chaitanya Bharathi Inst. of TechnologyHyderabadP IIITBangaloreG SRM Institute of Science and TechnologyChennaiP SASTRAThanjavurP Bangalore Institute of TechnologyBangaloreP The Technological Inst. of Textile & SciencesBhiwaniG IIITGwaliorG

70JNTUAnantpurG M.S. Ramaiah Institute of TechnologyBangaloreP Gitam Vishakhapatn amP NITHamirpurG NITJalandharG SV University Engineering CollegeTirupatiG NITRaipurG Vasavi College of EngineeringHyderabadP The ICFAI Inst of Science and TechnologyHyderabadP NITPatnaG

80 Cummins College of Engg for WomenPuneG VITPuneP Shri Ramdeo Baba K.N. Engineering CollegeNagpurP Muffakham Jah Engineering CollegeHyderabadP Karunya Institute of TechnologyCoimbatoreP D.J. SanghviMumbaiP Sathyabhama Engineering CollegeChennaiP Kongu Engineering CollegeErodeP Mepco Schlenk Engineering CollegeSivakasiP

89 Guru Nanak Dev Engineering CollegeLudhianaG Hindustan Inst of Engineering TechnologyChennaiP SDM College of EngineeringDharwadP R.V.R. & J.C. College Of EnggGunturP Jamia Millia Islamia, New DelhiNew DelhiG K.L. College of EngineeringVeddeswaramP Dharmsinh Desai Institute of TechnologyNadiadP S.G.S. Institute of Technology & ScienceIndoreG Jabalpur Engineering CollegeJabalpurG

98 Sree Chitra Thirunal College of EngineeringTrivandrumP G.H. Patel College of Engg & Technology Vallabh VidyanagarG Kalinga Institute of Industrial TechnologyBhubaneshwarP

IC (Intellectual Capital) represents quality of students each institute possesses. I&F (Infrastructure and Facilities) include land, building and various other facilities which an institute possesses. PS (Pedagogic Systems) refer to instructional methods used for educational purposes. II (Industry Interface) means corporate interaction with the college. P (Placements) refer to campus recruitments

Frequency Distribution Table Class interval midpoints(x ) frequency(f )cffxdd^2fd^

MeanMedianModeS.D In the above data, all the values cluster around Similarly one half of the observations in the above data is less than or equal to and 65.1 is the value that occurs with the greatest frequency have been computed by taking the positive square root of variance.

The Histogram above shows each separate class in the distribution. It shows how the frequency is distributed among the various classes. It is also easy to compare the difference between each class. For example in the above histogram, we have 5 elements in the class between 55 to 60.

Frequency Polygon Frequency Polygon shows the outline of the data pattern more clearly.

Less than ogive The Ogive curve above is a graphical representation of the cumulative frequency distribution. The X axis here represents the TOTAL obtained from various attributes and Y axis represents the cumulative frequency. At any given point in the ogive curve, we can determine the number of values lying under it.

Pie Chart showing distribution of Engineering Institutes From the above pie chart, we can infer the distribution of the type to which the college belongs. Here in our data, we have two types; private colleges which constitute 40% and government colleges constitute 60% of the total

Table showing Correlation and Regression between IC & P correlation 0.81 slope0.57 intercept0.71 R^ R

The above chart shows a high positive correlation between IC & P. This is a straight line (linear) regression model and is expressed with respect to the parameters Intellectual Capital and Placement as y=0.5707x R2= indicates the proportion of the variance in the placements which is explained by the independent variable (intellectual capital). The coefficient of correlation is found by using the above equation, and is which shows there’s a HIGH degree of correlation between the two parameters considered here.

Table showing Correlation and Regression between II & P Correlation coefficient Slope Intercept r^ r

The above chart shows that there is substantial correlation between Industry Interface and Placement. This is also a straight line (linear) regression model and is expressed with respect to the parameters Industry Interface and Placement as: y=0.854x R2=0.397 indicates the proportion of variance between the Placements (dependent variable) which is explained by the independent variable (Industry Interface). ). The coefficient of correlation is found by using the above equation, and is which shows there’s a SUBSTANTIAL degree of correlation between the two parameters considered here.

Rank Correlation Rankname of the institution Industry InterfacePlacementsrank square of diff 1IIT Kanpur IIT Kharagpur IIT Bombay IIT Madras IIT Delhi BITS Pilani IIT Roorkee IT-BHU IIT Guwahati College of Engg, Anna University Jadavpur University, Faculty of Engg & Tech Indian School of Mines NIT BIT, Mesra NIT

16 Delhi College of Engineering Punjab Engineering College NIT Motilal Nehru National Inst. of Technology Thapar Inst of Engineering & Technology Bengal Eng and Science University, Shibpur MANIT PSG College of Technology IIIT Harcourt Butler Technological Institute

26 Malviya National Institute of Technology VNIT NIT Dhirubhai Ambani IICT Osmania Univ. College of Engineering College of Engineering, Andhra University Netaji Subhas Institute of Technology NIT NIT SVNIT Govt. College of Engineering

37 Manipal Institute of Technology JNTU R.V. College of Engineering NIT University Visvesvaraya College of Engg VJTI Vellore Institute of Technology Coimbatore Institute of Technology SSN College of Engineering IIIT College of Engineering

48NIT Durgapur SIT Mumbai University Inst of Chemical Tech Sardar Patel College of Engineering P.E.S. Institute of Technology Maharashtra Institute of Technology Amrita Institute of Technology & Science National Institute of Engineering B.M.S. College of Engineering Laxminarayan Institute Of Tech Nirma Institute of Technology

59IIIT Amity School of Engineering JNTU S.J. College of Engineering Chaitanya Bharathi Inst. of Technology IIIT SRM Institute of Science and Technology SASTRA Bangalore Institute of Technology The Technological Inst. of Textile & Sciences

69IIIT JNTU M.S. Ramaiah Institute of Technology Gitam NIT NIT SV University Engineering College NIT Vasavi College of Engineering The ICFAI Inst of Science and Technology NIT Cummins College of Engg for Women VIT

82 Shri Ramdeo Baba K.N. Engineering College Muffakham Jah Engineering College Karunya Institute of Technology D.J. Sanghvi Sathyabhama Engineering College Kongu Engineering College Mepco Schlenk Engineering College Guru Nanak Dev Engineering College Hindustan Inst of Engineering Technology SDM College of Engineering

92 R.V.R. & J.C. College Of Engg Jamia Millia Islamia, New Delhi K.L. College of Engineering Dharmsinh Desai Institute of Technology S.G.S. Institute of Technology & Science Jabalpur Engineering College Sree Chitra Thirunal College of Engineering G.H. Patel College of Engg & Technology Kalinga Institute of Industrial Technology Total (D)14768

Rank correlation 1-6∑D^2+(m^3- m/12)/n(n^2-1) sum of squares of the differences D14768 no. of repetitionsm** The rank correlation is calculated from the above procedure. Where the sum of the squares of the differences of the rank are taken. Since we have repetitive ranks, a modified formulae is used which is shown in the above tabular column. Using this approach the Rank Correlation is found to be.9101