For some additional opinions about the pros and cons of online surveys, please visit this thread:
http://www.sciencebuddies.com/mentoring ... php?t=2666
There are a range of opinions in that discussion, including those of a professional MD PhD who uses internet surveys to collect data for her peer-reviewed research articles.
I can understand that there is reluctance to use internet surveys because there is potential for misuse. On the other hand, this is true of any scientific method - all techniques will give erroneous results if improperly used. What is most important is that your particular survey is well designed and appropriate to provide the data needed to address your scientific question, and that you anticipate and address the concerns with your survey (Is there any reason to believe that anyone answered your survey more than once? If people responding are from different countries, would that affect your results? etc.)
In fact, internet surveys are widely used and accepted in research. Hundreds of peer-reviewed papers using internet surveys have been published and many more are published every month. I pasted some examples below. There are many, many more.
For the statistics, I would recommend starting simple (comparing averages & standard deviations) and then moving to more complex tests for further analysis. It's tough to recommend specific tests without knowing more about your data and question, so please post back with additional info if you need more help. You may want to direct statistics-related questions to the math forum.
Keeling ML, Piercy FP
A careful balance: Multinational perspectives on culture, gender, and power in marriage and family therapy practice
JOURNAL OF MARITAL AND FAMILY THERAPY 33 (4): 443-463 OCT 2007
Nikken P, Jansz J, Schouwstra S
Parents' interest in videogame ratings and content descriptors in relation to game mediation
EUROPEAN JOURNAL OF COMMUNICATION 22 (3): 315-336 SEP 2007
Kypri K, Paschall MJ, Maclennan B, et al.
Intoxication by drinking location: A web-based diary study in a New Zealand university community
ADDICTIVE BEHAVIORS 32 (11): 2586-2596 NOV 2007
Smith SY, Curbow B, Stillman FA
Harm perception of nicotine products in college freshmen
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Producers, directors, and horizontal communication in television news production
JOURNAL OF BROADCASTING & ELECTRONIC MEDIA 51 (2): 337-354 JUN 2007
Togari T, Yamazaki Y, Nakayama K, et al.
Development of a short version of the sense of coherence scale for population survey
JOURNAL OF EPIDEMIOLOGY AND COMMUNITY HEALTH 61 (10): Art. No. 921 OCT 2007
Im EO, Chee W, Tsai HM, et al.
Internet communities for recruitment of cancer patients into an internet survey: A discussion paper
INTERNATIONAL JOURNAL OF NURSING STUDIES 44 (7): 1261-1269 SEP 2007
Kinney WC, Benninger MS
Assessment of quality of life among patients with sinonasal disease as determined by an Internet survey based on the Rhinosinusitis Disability Index
ENT-EAR NOSE & THROAT JOURNAL 86 (8): 482+ AUG 2007
Ducak AS, Mandic ML, Blazeka M
Internet survey on basic eating and living habits in adults
ANNALS OF NUTRITION AND METABOLISM 51: 131-131 P107 Suppl. 1 2007
Wasson JH, MacKenzie TA, Hall M
Patients use an internet technology to report when things go wrong
QUALITY & SAFETY IN HEALTH CARE 16 (3): 213-215 JUN 2007
Times Cited: 0
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Bordes M, Semjen F, Sautereau A, et al.
Which anaesthesia for children undergoing MRI? An internet survey in the French university hospitals
ANNALES FRANCAISES D ANESTHESIE ET DE REANIMATION 26 (4): 287-291 APR 2007
Hill EL, Cumming RG, Lewis R, et al.
Sleep disturbances and falls in older people
JOURNALS OF GERONTOLOGY SERIES A-BIOLOGICAL SCIENCES AND MEDICAL SCIENCES 62 (1): 62-66 JAN 2007
Times Cited: 1
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Cohrs JC, Maes J, Moschner B, et al.
Determinants of human rights attitudes and behavior: A comparison and integration of psychological perspectives
POLITICAL PSYCHOLOGY 28 (4): 441-469 AUG 2007
Andrews L, Kiel G, Drennan J, et al.
Gendered perceptions of experiential value in using web-based retail channels
EUROPEAN JOURNAL OF MARKETING 41 (5-6): 640-658 2007
Potoglou D, Kanaroglou PS
Household demand and willingness to pay for clean vehicles
TRANSPORTATION RESEARCH PART D-TRANSPORT AND ENVIRONMENT 12 (4): 264-274 JUN 2007
Damschroder LJ, Roberts TR, Zikmund-Fisher BJ, et al.
Why people refuse to make tradeoffs in person tradeoff elicitations: A matter of perspective?
MEDICAL DECISION MAKING 27 (3): 266-280 MAY-JUN 2007
Givens JL, Houston TK, Van Voorhees BW, et al.
Ethnicity and preferences for depression treatment
GENERAL HOSPITAL PSYCHIATRY 29 (3): 182-191 MAY-JUN 2007
Smith DM, Loewenstein G, Rozin P, et al.
Sensitivity to disgust, stigma, and adjustment to life with a colostomy
JOURNAL OF RESEARCH IN PERSONALITY 41 (4): 787-803 AUG 2007