"Independent" expert opinions are always more valuable than consented ones. Would your scientific article be more trusted if ten peers offered completely independent opinions, or if it offered the opinions of ten scientists who sat at a table together and shared their notes? The peer review F.A.I.T.H. model expects each opinion to be IDENTIFIABLE with its exact source. How could we possibly know where an expert opinion came from if that expert offered an opinion only after polling other experts first? I personally would not know for certain unless I knew that the expert did NOT poll others first. Most people do not. So to improve trust, we should give the community an ability to look at independant expert opinions. To that end, we should reward experts who volunteer independent opinions without first polling other experts.
Surveys preferably conceal their results to remove response bias. Blind survey votes naturally induce trust, we should embrace that reality.
Here is a partial list of the biases blind votes eliminate, making them intrinsically more valuable than naked votes:
Status quo bias: Preference for the current state of affairs or "Bandwagoning"
Outcome bias: An error made in evaluating the quality of a decision when the outcome of that decision is already known. E.g., "If I downvote this post it will be closed; therefore, I will not downvote."
Omission bias: The tendency to favor an act of omission over one of commission. E.g., "These votes suggest the post is controversial therefore: I will not vote."
In-group favoritism: Favoring members of one's in-group over out-group members. E.g., "Moderators like me upvote, I should upvote!"
Anchoring: An individual depends too heavily on an initial piece of information offered -the "anchor" - when making decisions. E.g., "This post has a -10 score. I will look more critically at this post to decide."
Systematically removing bias promotes trust in new users, which will increase our user base.
For these reasons I feel voters who choose to vote in the blind should earn reputation slightly faster as an incentive to self-abstain from prejudice. As a user preference, vote scores are not displayed on any post until you have voted on it.
Applicability across different exchanges likely will vary. I feel hidden voting is universally beneficial yet naked votes should remain the default option.
Moderators on this site have confirmed that they use the vote score to decide if they themselves will cast a vote (fallacy could be due to any of the above biases). As such vote scores are influencing site moderation to the detriment of objective post content evaluations.
Some moderators argue a vote score helps make a decision whether or not to close a question. This is another argument in favor of this feature because moderators will have an incentive to cast a vote - they want to see the score. Yet in either case, the option is ...an option. Mods can elect to vote in the clear. The moderator workload would also be greatly reduced. As a feature it addresses many SE questions, such as these linked below.
“Spam Voting” - Should we stop it?
Would voting for posts based on their score be considered fraud?
Useful answers should go beyond "yes" or "no" but should have constructive content including ideas, pro's, and con's of:
Use cases
Definitions
Implementation
Reward
Related issues & considerations
Cheating with in-private searches Comments bring this issue up and it's not explicitly detailed in this question. As it stands vote counts are not available to in-private browsers. You only get a differential "score" subtracting down-votes from up-votes. A wholly useless number. Thus if a vote is split 50/50 with 100 upvotes favoring it, and 102 downvotes disfavoring it, the in-private search shows a very deceptive "-2" vote count, creating the false impression that "no experts agree." The score currently available to in-private searches provides zero quantitative data and is no more useful than a simple up/down arrow. It would serve searchers more if it were a simple ordinal ranking in the list of responses (An honest vote box should simply show vote majority as either ↑ or ↓ and present responses to the user in rank order: Highest to lowest, accepted on top)