A recent study has suggested that effectiveness of placebo treatments increased over the years in the US, in patients suffering from neuropathic pain.
Increasing placebo responses over time in U.S. clinical trials of neuropathic pain, Pain, December 2015 - Volume 156 - Issue 12 - p 2616–2626
The study itself uses data ...
Some very interesting results along those lines were produced by an asthma study done in 2011:
Active Albuterol or Placebo, Sham Acupuncture, or No Intervention in Asthma
In a double-blind, crossover pilot study, we randomly assigned 46
patients with asthma to active treatment with an albuterol inhaler, a
placebo inhaler, sham acupuncture, or no ...
Yes, a nocebo study did find that rashes could appear on the wrong arm due to suggestion.
As this was a question whose "trail runs dry", I figured I'd give context to how I found it, first, but I have found the study in question, and before I continue, here's the interesting line in the summary at the end:
The effect of suggestion upon the development of ...
There is some weak evidence that knowing that a placebo can work even if the patient knows it is a placebo.
Kaptchuk TJ, Friedlander E, Kelley JM, Sanchez MN, Kokkotou E, et al. (2010) Placebos without Deception: A Randomized Controlled Trial in Irritable Bowel Syndrome. PLoS ONE 5(12): e15591. doi:10.1371/journal.pone.0015591
The study compared patients ...
The question is kind of ambiguous. What is "it?" Does the question mean "Is the placebo effect dependent on the amount of belief in the placebo effect?" or does it mean "Is the placebo effect dependent on the amount of belief in the effectiveness of the (alleged) treatment?" The first possibility seems pretty goofy and the discussion in the question ...
There is a set of very old urban legends - fictional stories that are widely believed and passed around as true - which are closely related to this story.
In the book The Lore of Scotland: A Guide to Scottish Legends (page 291), one variant is presented:
In 1824, an account appeared in print of Aberdeen students ganging up on an unpopular sacrist (a ...
My packet of strepsils contains a leaflet saying each lozenge contains
2,4-Dichlorobenzyl alcohol 1.2 mg
Amylmetacresol 0.6 mg
Levomenthol 8.0 mg.
2,4-Dichlorobenzyl alcohol and Amylmetacresol
A throat lozenge containing amyl meta cresol and dichlorobenzyl alcohol has a direct virucidal effect on respiratory syncytial virus, influenza A and ...
There isn't strong evidence that any placebos have objective clinical effects.
Placebo interventions for all clinical conditions
"We did not find that placebo interventions have important clinical effects in general". They only found some small effects on patient-reported outcomes, not objective outcomes.
At least one recent study shows that placebos work equally well when you know you are taking them
A study published in July 2017 compared the clinical effectiveness of several ways of administering placebos. No treatment (NT) was compared to blinded placebo (DP, for Deceptive Placebo where the patient thinks they are getting real medicine), openly labelled ...
The way the term placebo is used in medicial studies it's a catch-all term for different effects.
Let's look at an example:
A patient asks for a painkiller and a nurse gives a patient a painkiller as a pill. What effects are there? Without claiming to have a complete list:
The chemical in the painkiller binds to the targets that the pharmacompany who ...
This is the article where the research results were published in. The double blind study was quite small, but the results were still significant. In other trials analogous results were found; if people have a larger expectation that a treatment will work, then the placebo effect will be stronger. E.g. in this study the effects of oxygen was compared to ...
I am not sure why most think placebo effect is only psychological. It is easily reversible by opioid antagonists like naloxone:
the placebo response could be blocked by naloxone if it was induced by strong expectation cues, whereas if the expectation cues were reduced, it was insensitive to naloxone. In the same study, if the placebo response was obtained ...
In this first comprehensive review of the sneeze reflex in the English literature, there is no mention of how a sneeze might be suppressed. 
The sneeze reflex
The sneezing reflex may be divided into two phases. The first is a
nasal or sensitive phase, following stimulation of the nasal mucosa by
chemical or physical irritants. Many distal branches ...